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Kafanıza takılan varsa yorum bırakabilirsiniz. Destek olmak için...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3919775/7067426065c5a0675487121e6155a401/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/8LEBJgEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"5","reqid":"1769673671265798-132275718540388014-balancer-l7leveler-kubr-yp-klg-225-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769673671265798-132275718540388014-balancer-l7leveler-kubr-yp-klg-225-BAL&text=videoid:9367011482521495410","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik dersi formatında olup, bir eğitmen tarafından limit konusunun devamı olarak sıkıştırma teoremi (sandviç teoremi) anlatılmaktadır.","Videoda öncelikle sıkıştırma teoremi grafik üzerinden açıklanmakta ve teorik olarak anlatılmaktadır. Ardından, sinüs x bölü x limitinin sıkıştırma teoremi kullanılarak nasıl ispatlanacağı adım adım gösterilmektedir. Eğitmen, birim çember kullanarak sinüs, kosinüs ve tanjant fonksiyonlarının alanlarını karşılaştırarak, sinüs x bölü x'in limitinin 1 olduğunu ispatlamaktadır. Video, bu limitin grafiksel gösterimiyle sonlanmaktadır."]},"endTime":663,"title":"Sıkıştırma Teoremi ve Sinüs/X Limitinin İspatı","beginTime":0}],"fullResult":[{"index":0,"title":"Sıkıştırma Teoremi Nedir?","list":{"type":"unordered","items":["Limit konusunda temel limitlerin hesaplanabilmesi için çarpanlarına ayırma veya eşlilikle çarpma gibi cebirsel işlemler kullanılır.","Sıkıştırma (sandviç) teoremi, limit hesaplamalarında önemli bir yere sahiptir.","Sıkıştırma teoremi, bir fonksiyonun diğer iki fonksiyon arasında kalması durumunda limitin de bu iki fonksiyonun limitine eşit olduğunu belirtir."]},"beginTime":2,"endTime":90,"href":"/video/preview/9367011482521495410?parent-reqid=1769673671265798-132275718540388014-balancer-l7leveler-kubr-yp-klg-225-BAL&text=SiNxRealize&t=2&ask_summarization=1"},{"index":1,"title":"Sıkıştırma Teoreminin Matematiksel İfadesi","list":{"type":"unordered","items":["Eğer a civarında f(x) ≥ g(x) ve g(x) ≥ h(x) ise, limit x→a'da f(x) = h(x) ise, limit x→a'da f(x) = limit x→a'da g(x) = limit x→a'da h(x) olur.","Sıkıştırma teoremi, bir sandviç benzetmesiyle anlatılır: üstteki ve alttaki ekmekler g(x) ve h(x), aradaki malzeme ise f(x) olur."]},"beginTime":90,"endTime":226,"href":"/video/preview/9367011482521495410?parent-reqid=1769673671265798-132275718540388014-balancer-l7leveler-kubr-yp-klg-225-BAL&text=SiNxRealize&t=90&ask_summarization=1"},{"index":2,"title":"Sinüs x/x Limitinin Sıkıştırma Teoremiyle İspatı","list":{"type":"unordered","items":["Sinüs x/x limitinin x→0'a giderken 1 olduğunu göstermek için birim çember kullanılır.","Birim çemberde, bir açının üçgeninin alanı sinüs x/2, dışarıdaki büyük üçgenin alanı tanjant x/2, daire diliminin alanı ise x/2π'dir.","Sinüs x/x, sinüs x/2 ile tanjant x/2 arasında kalır ve her iki tarafın limiti 1 olduğundan, sinüs x/x'in limiti de 1'dir."]},"beginTime":226,"endTime":650,"href":"/video/preview/9367011482521495410?parent-reqid=1769673671265798-132275718540388014-balancer-l7leveler-kubr-yp-klg-225-BAL&text=SiNxRealize&t=226&ask_summarization=1"}],"linkTemplate":"/video/preview/9367011482521495410?parent-reqid=1769673671265798-132275718540388014-balancer-l7leveler-kubr-yp-klg-225-BAL&text=SiNxRealize&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Sıkıştırma (Sandviç) Teoremi ( lim x-- 0 [ Sin(x)/(x) = 1] 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