{"id":378,"date":"2023-07-04T01:01:00","date_gmt":"2023-07-04T01:01:00","guid":{"rendered":"https:\/\/mathority.org\/id\/asimtot-horizontal\/"},"modified":"2023-07-04T01:01:00","modified_gmt":"2023-07-04T01:01:00","slug":"asimtot-horizontal","status":"publish","type":"post","link":"https:\/\/mathority.org\/id\/asimtot-horizontal\/","title":{"rendered":"Asimtot horizontal"},"content":{"rendered":"<p>Pada artikel ini kami menjelaskan apa itu asimtot horizontal suatu fungsi dan cara menghitungnya. Selain itu, Anda akan menemukan beberapa contoh asimtot jenis ini untuk memahami konsep sepenuhnya dan, sebagai tambahan, Anda akan dapat berlatih dengan latihan asimtot horizontal yang diselesaikan. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-una-asintota-horizontal\"><\/span> Apa yang dimaksud dengan asimtot horizontal?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Asimtot horizontal suatu fungsi adalah garis horizontal yang grafiknya mendekati tak terhingga tanpa pernah melintasinya.<\/strong> Oleh karena itu, persamaan asimtot horizontal adalah <em>y=k<\/em> , dengan <em>k<\/em> adalah nilai asimtot horizontal.<\/p>\n<p> Artinya, <strong><em>k<\/em> adalah asimtot horizontal jika limit fungsi ketika <em>x<\/em> mendekati tak terhingga sama dengan <em>k<\/em> .<\/strong> <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/asymptote-horizontale-dune-fonction.webp\" alt=\"asimtot horizontal suatu fungsi\" class=\"wp-image-1350\" width=\"401\" height=\"269\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Fungsi di atas mempunyai asimtot horizontal pada kedua sisi grafiknya, namun suatu fungsi hanya dapat memiliki asimtot horizontal pada salah satu sisinya:<\/p>\n<ul>\n<li> Fungsi tersebut mempunyai <strong>asimtot horizontal kiri<\/strong> jika limit paling sedikit hingga tak terhingga menghasilkan bilangan real.<\/li>\n<li> Fungsi tersebut memiliki <strong>asimtot horizontal di sebelah kanan<\/strong> jika limit hingga plus tak terhingga menghasilkan bilangan real. <\/li>\n<\/ul>\n<div class=\"wp-block-columns are-vertically-aligned-center is-layout-flex wp-container-111\">\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/asymptote-horizontale-dune-fonction-a-partir-de-la-gauche.webp\" alt=\"asimtot horizontal suatu fungsi dari kiri\" class=\"wp-image-1352\" width=\"227\" height=\"239\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<\/div>\n<div class=\"wp-block-column is-vertically-aligned-center is-layout-flow\">\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/asymptote-horizontale-vers-la-droite.webp\" alt=\"asimtot horizontal ke kanan\" class=\"wp-image-1328\" width=\"268\" height=\"239\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<\/div>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-calcular-la-asintota-horizontal-de-una-funcion\"><\/span> Cara menghitung asimtot horizontal suatu fungsi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Untuk menghitung asimtot horizontal suatu fungsi, langkah-langkah berikut harus diikuti:<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;border:\">\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Hitung limit fungsi hingga tak terhingga (+\u221e dan -\u221e).<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Jika limit hingga tak terhingga menghasilkan bilangan real (k), maka garis y=k merupakan asimtot horizontal dari fungsi tersebut.<\/span><\/li>\n<li> <span style=\"color:#101010;font-weight: normal;\">Jika tidak ada limit yang bersesuaian dengan bilangan real, maka fungsi tersebut tidak mempunyai asimtot horizontal.<\/span> <\/li>\n<\/ol>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-asintota-horizontal\"><\/span> Contoh Asimtot Horisontal<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Agar Anda dapat melihat contoh cara melakukannya, kami akan menghapus semua asimtot horizontal dari fungsi rasional berikut:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f6b695ac0a1f175a1522a0c606da9458_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\cfrac{x+1}{x-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"101\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Untuk menentukan asimtot horizontal, perlu dihitung limit pada minus tak terhingga dan plus tak terhingga dari fungsi tersebut:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c437f7aa8aec16519f5ff4bfd2666a32_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to +\\infty} \\cfrac{x+1}{x-1} = \\cfrac{+\\infty}{+\\infty}= \\cfrac{1}{1} = \\bm{1}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"223\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6a04dd749f028409b7c952eb01d5adde_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to -\\infty} \\cfrac{x+1}{x-1} = \\cfrac{-\\infty}{-\\infty}= \\cfrac{1}{1} = \\bm{1}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"223\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Lihat:<\/strong> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/id\/ketidakpastian-tak-terhingga-antara-tak-terhingga-%e2%88%9e-%e2%88%9e\/\">bagaimana menyelesaikan ketidakterbatasan yang tak terhingga antara yang tak terhingga<\/a><\/span><\/p>\n<p> Dua limit di tak terhingga menghasilkan 1, jadi <strong>y=1 adalah satu-satunya asimtot horizontal dari fungsi tersebut.<\/strong><\/p>\n<p> Di bawah ini adalah fungsi yang direpresentasikan secara grafis. Seperti yang Anda lihat, fungsinya menjadi sangat dekat dengan y=1 (baik pada plus tak terhingga maupun minus tak terhingga), namun tidak pernah menyentuhnya karena merupakan asimtot horizontal. <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-dasymptote-horizontale.webp\" alt=\"contoh asimtot horizontal\" class=\"wp-image-1333\" width=\"525\" height=\"414\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> <strong>Catatan:<\/strong> dalam beberapa kasus khusus, fungsi tersebut memotong asimtot horizontal di satu titik atau lebih, tetapi secara umum grafik suatu fungsi tidak pernah memotong asimtotnya.<\/p>\n<p> Di sisi lain, fungsi ini juga memiliki asimtot vertikal di x=1. Sebab, seperti terlihat pada grafik, garis tersebut sangat dekat dengan garis x=1 tetapi tidak pernah mencapai nilai tersebut. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-asintotas-horizontales\"><\/span> Memecahkan masalah asimtot horizontal<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\"> Latihan 1<\/h3>\n<p> Temukan asimtot horizontal, jika ada, dari fungsi pecahan berikut: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-717c0b45bca578809a5e633a960e72c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)= \\frac{4x+3}{2x-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"110\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>lihat solusi<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Untuk menentukan asimtot horizontal suatu fungsi rasional, perlu dihitung limit tak terhingga dari fungsi tersebut: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-27d982077c31fd0cd8f75cab15b6aafc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to +\\infty} \\frac{4x+3}{2x-1} = \\frac{4(+\\infty)}{2(+\\infty)} = \\frac{+\\infty}{+\\infty} = \\frac{4}{2} = \\bm{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"311\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-137e1fdfcb79e76bfaaae3f42466a16e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to -\\infty} \\frac{4x+3}{2x-1} = \\frac{4(-\\infty)}{2(-\\infty)} = \\frac{-\\infty}{-\\infty} = \\frac{4}{2} = \\bm{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"311\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Dalam hal ini, hasil bentuk tak tentu \u221e\/\u221e adalah pembagian koefisien x pangkat tertinggi, karena pembilang dan penyebutnya berorde sama.<\/p>\n<p class=\"has-text-align-left\"> Batas pada plus tak terhingga dan minus tak terhingga dari fungsi tersebut menghasilkan 2, jadi <strong>y=2 adalah asimtot horizontal<\/strong> dan merupakan satu-satunya asimtot yang dimiliki fungsi tersebut.<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\"> Latihan 2<\/h3>\n<p> Temukan semua asimtot horizontal dari fungsi rasional berikut yang memiliki akar: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c605d3e2ddf02895534060c0d965daaf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)= \\frac{3x}{\\sqrt{x^2+2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"124\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>lihat solusi<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Untuk mencari asimtot horizontal suatu fungsi, pertama-tama kita hitung limit pada tak terhingga positif:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-36b52bec09032cfd322340c6f979d5f1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to +\\infty}\\frac{3x}{\\sqrt{x^2+2}}= \\frac{+\\infty}{+\\infty} = \\frac{3}{\\sqrt{1}} = \\bm{3}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"259\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Dan kemudian kita menyelesaikan limit fungsi hingga negatif tak terhingga:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fb11630356a1314b3785cc90980b419b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to -\\infty}\\frac{3x}{\\sqrt{x^2+2}}= \\frac{-\\infty}{+\\infty} = \\frac{-3}{\\sqrt{1}} = \\bm{-3}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"273\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> <u style=\"text-decoration-color:#FF9B28;\">\u27a4 Jika Anda ragu tentang cara menyelesaikan batas hingga tak terhingga, kami sarankan untuk memeriksa tautan di atas tentang <em>cara menyelesaikan ketidakpastian tak terhingga di antara tak terhingga.<\/em><\/u><\/p>\n<p class=\"has-text-align-left\"> Dalam hal ini, kami memperoleh dua nilai batas tak terhingga yang berbeda. Oleh karena itu, fungsi tersebut mempunyai dua asimtot horizontal: y=3 adalah asimtot horizontal dari fungsi di sebelah kanan dan, sebaliknya, y=-3 adalah asimtot horizontal dari fungsi di sebelah kiri.<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\"> Latihan 3<\/h3>\n<p> Hitung asimtot horizontal dari fungsi terdefinisi sepotong-sepotong berikut ini: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-aa168db8e7d068a6d331e40401a90da6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)=\\left\\{ \\begin{array}{lcl}\\displaystyle\\frac{3x-1}{x^2}&amp; \\text{si} &amp; x<4\\\\[4ex]\\displaystyle\\frac{x^3-2x+5}{2x^3-9} &amp; \\text{si} &amp; x\\geq 4 \\end{array} \\right.\" title=\"Rendered by QuickLaTeX.com\" height=\"100\" width=\"262\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>lihat solusi<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Untuk menghitung asimtot horizontal suatu fungsi, tidak ada rumusnya, tetapi Anda harus menghitung batas plus dan minus tak terhingga.<\/p>\n<p class=\"has-text-align-left\"> Jadi, untuk mencari batas minimal tak terhingga, kita ambil fungsi yang ditentukan di bagian pertama:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-50c7440eb78bb31e6b0e2b4663d892bb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to -\\infty}\\frac{3x-1}{x^2}= \\frac{-\\infty}{+\\infty}=\\bm{0}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"194\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Jadi garis y=0 merupakan asimtot horizontal di sebelah kiri fungsi.<\/p>\n<p class=\"has-text-align-left\"> Dan sekarang kita menghitung limit pada plus tak terhingga dengan mengambil fungsi yang ditentukan di bagian kedua:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ba01137442f320e04e824b4963a3383b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\lim_{x \\to +\\infty}\\frac{x^3-2x+5}{2x^3-9}= \\frac{+\\infty}{+\\infty}=\\mathbf{\\frac{1}{2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"237\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Jadi garis y=1\/2 adalah asimtot horizontal di sebelah kanan fungsi tersebut.<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Pada artikel ini kami menjelaskan apa itu asimtot horizontal suatu fungsi dan cara menghitungnya. Selain itu, Anda akan menemukan beberapa contoh asimtot jenis ini untuk memahami konsep sepenuhnya dan, sebagai tambahan, Anda akan dapat berlatih dengan latihan asimtot horizontal yang diselesaikan. Apa yang dimaksud dengan asimtot horizontal? Asimtot horizontal suatu fungsi adalah garis horizontal yang &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/id\/asimtot-horizontal\/\"> <span class=\"screen-reader-text\">Asimtot horizontal<\/span> Selengkapnya &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[43],"tags":[],"class_list":["post-378","post","type-post","status-publish","format-standard","hentry","category-batasan-fungsi"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Asimtot horizontal - Mathority<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathority.org\/id\/asimtot-horizontal\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Asimtot horizontal - Mathority\" \/>\n<meta property=\"og:description\" content=\"Pada artikel ini kami menjelaskan apa itu asimtot horizontal suatu fungsi dan cara menghitungnya. Selain itu, Anda akan menemukan beberapa contoh asimtot jenis ini untuk memahami konsep sepenuhnya dan, sebagai tambahan, Anda akan dapat berlatih dengan latihan asimtot horizontal yang diselesaikan. Apa yang dimaksud dengan asimtot horizontal? Asimtot horizontal suatu fungsi adalah garis horizontal yang &hellip; Asimtot horizontal Selengkapnya &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/id\/asimtot-horizontal\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-04T01:01:00+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/asymptote-horizontale-dune-fonction.webp\" \/>\n<meta name=\"author\" content=\"Tim Mathority\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Ditulis oleh\" \/>\n\t<meta name=\"twitter:data1\" content=\"Tim Mathority\" \/>\n\t<meta name=\"twitter:label2\" content=\"Estimasi waktu membaca\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathority.org\/id\/asimtot-horizontal\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/id\/asimtot-horizontal\/\"},\"author\":{\"name\":\"Tim Mathority\",\"@id\":\"https:\/\/mathority.org\/id\/#\/schema\/person\/ea4523caf53a07e2ebf32e306a925b38\"},\"headline\":\"Asimtot horizontal\",\"datePublished\":\"2023-07-04T01:01:00+00:00\",\"dateModified\":\"2023-07-04T01:01:00+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathority.org\/id\/asimtot-horizontal\/\"},\"wordCount\":630,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/mathority.org\/id\/#organization\"},\"articleSection\":[\"Batasan fungsi\"],\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathority.org\/id\/asimtot-horizontal\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathority.org\/id\/asimtot-horizontal\/\",\"url\":\"https:\/\/mathority.org\/id\/asimtot-horizontal\/\",\"name\":\"Asimtot horizontal - Mathority\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/id\/#website\"},\"datePublished\":\"2023-07-04T01:01:00+00:00\",\"dateModified\":\"2023-07-04T01:01:00+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/mathority.org\/id\/asimtot-horizontal\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mathority.org\/id\/asimtot-horizontal\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mathority.org\/id\/asimtot-horizontal\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mathority.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Asimtot horizontal\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/mathority.org\/id\/#website\",\"url\":\"https:\/\/mathority.org\/id\/\",\"name\":\"Mathority\",\"description\":\"Di mana rasa ingin tahu bertemu dengan perhitungan!\",\"publisher\":{\"@id\":\"https:\/\/mathority.org\/id\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/mathority.org\/id\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"id\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/mathority.org\/id\/#organization\",\"name\":\"Mathority\",\"url\":\"https:\/\/mathority.org\/id\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"id\",\"@id\":\"https:\/\/mathority.org\/id\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/mathority.org\/id\/wp-content\/uploads\/2023\/09\/mathority-logo.png\",\"contentUrl\":\"https:\/\/mathority.org\/id\/wp-content\/uploads\/2023\/09\/mathority-logo.png\",\"width\":703,\"height\":151,\"caption\":\"Mathority\"},\"image\":{\"@id\":\"https:\/\/mathority.org\/id\/#\/schema\/logo\/image\/\"}},{\"@type\":\"Person\",\"@id\":\"https:\/\/mathority.org\/id\/#\/schema\/person\/ea4523caf53a07e2ebf32e306a925b38\",\"name\":\"Tim Mathority\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"id\",\"@id\":\"https:\/\/mathority.org\/id\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/8a35e4c8616d1c34c03ca02862b580f4372c5650665668489db53a09579bbc4f?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/8a35e4c8616d1c34c03ca02862b580f4372c5650665668489db53a09579bbc4f?s=96&d=mm&r=g\",\"caption\":\"Tim Mathority\"},\"sameAs\":[\"http:\/\/mathority.org\/id\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Asimtot horizontal - Mathority","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/mathority.org\/id\/asimtot-horizontal\/","og_locale":"id_ID","og_type":"article","og_title":"Asimtot horizontal - Mathority","og_description":"Pada artikel ini kami menjelaskan apa itu asimtot horizontal suatu fungsi dan cara menghitungnya. 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