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Montaj için gerekli aletler (tornavida ve matkap), kutu içeriği, kapı üzerindeki bağlantı noktalarının açılması, iç kilidin sabitlenmesi, kolların takılması, bağlantı kablosunun yerleştirilmesi ve pillerin takılması gibi adımlar sırasıyla gösterilmektedir. Video, ürünün kullanıma hazır hale gelmesiyle sona ermektedir."]},"endTime":320,"title":"Kale Şifreli Kilit Montaj Rehberi","beginTime":0}],"fullResult":[{"index":0,"title":"Kale Şifreli Kilit Montaj Kılavuzu","list":{"type":"unordered","items":["Kale şifreli kilit ürününün montajını kolay ve hatasız yapabilmek için hazırlanmış bir video.","Montaj için tornavida ve matkap seti gereklidir.","Kutu içeriği: arka kol gövdesi, ön kol gövdesi, 35 mm iç kilit, kulaklı kilit karşılığı, vida seti, 41 mm barel, barel tespit vidası, bağlantı kablosu, flat kablo, kullanım kılavuzu ve 3 adet mekanik anahtar."]},"beginTime":7,"endTime":90,"href":"/video/preview/4460770416743877764?parent-reqid=1769811339700966-1757023205810743128-balancer-l7leveler-kubr-yp-vla-157-BAL&text=l+0+seri_..keys+1&t=7&ask_summarization=1"},{"index":1,"title":"Montaj Adımları","list":{"type":"unordered","items":["Kapının iç tarafında, mevcut kilit ve kol takımı varsa önce çıkarılmalıdır.","Kutu içindeki şablon referans 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Hazırlayan: Kemal Duran (Matematik Öğretmeni)...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2797281/bada03e826a2946215c69c560bde6d03/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/CPnJaQAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"15","reqid":"1769811339700966-1757023205810743128-balancer-l7leveler-kubr-yp-vla-157-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769811339700966-1757023205810743128-balancer-l7leveler-kubr-yp-vla-157-BAL&text=videoid:7721137960984409545","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik eğitmeni tarafından sunulan seri testleri konulu eğitim içeriğidir.","Videoda seri testlerinin sekiz farklı türü (n'inci terim testi, geometrik seri, p serisi, integral testi, kıyaslama testleri, oran testi, kök testi ve alternatif seri testi) detaylı olarak ele alınmaktadır. Eğitmen her test için kuralları, limit hesaplamalarını ve çözüm adımlarını örneklerle açıklamaktadır.","Özellikle faktöriyel içeren seriler, üslü ifadeler ve eksi bir üzeri n içeren alternatif seriler üzerinde durulmakta, yakınsaklık/ıraksaklık durumları gösterilmektedir. Video, başlangıç düzeyi seri testleri konusunda örnek soru çözümü yapmak isteyen öğrenciler için hazırlanmıştır."]},"endTime":1575,"title":"Seri Testleri Örnek Soru Çözümleri","beginTime":0}],"fullResult":[{"index":0,"title":"Seri Testleri ve Amacı","list":{"type":"unordered","items":["Video, başlangıç düzeyi seri testlerine ait örnek soru çözümlerini üst düzey olarak işleyecektir.","Seri testleri sekiz türden oluşur: n'inci terim testi, geometrik seri, p serisi, integral testi, kıyaslama testleri, oran testi, kök testi ve arterne seri testi.","Seri testlerinin amacı, verilen bir serinin yakınsak mı yoksa ıraksak mı olduğunu belirlemektir."]},"beginTime":1,"endTime":158,"href":"/video/preview/7721137960984409545?parent-reqid=1769811339700966-1757023205810743128-balancer-l7leveler-kubr-yp-vla-157-BAL&text=l+0+seri_..keys+1&t=1&ask_summarization=1"},{"index":1,"title":"İlk Soru Çözümü","list":{"type":"unordered","items":["İlk soruda, 2'den sonsuza kadar (3n-2)/(2n+5) serisinin karakteri n-terim testi ile belirlenir.","n-terim testi, serinin içindeki kısmın limiti sonsuza giderken sıfırdan farklıysa serinin ıraksak olduğunu söyler.","Limit hesaplandığında 3/2 değeri elde edilir, bu sıfırdan farklı olduğu için seri ıraksaktır."]},"beginTime":158,"endTime":304,"href":"/video/preview/7721137960984409545?parent-reqid=1769811339700966-1757023205810743128-balancer-l7leveler-kubr-yp-vla-157-BAL&text=l+0+seri_..keys+1&t=158&ask_summarization=1"},{"index":2,"title":"İkinci Soru Çözümü","list":{"type":"unordered","items":["İkinci soru, p serisi testi ile çözülür; p serileri 1'den sonsuza kadar 1/n^p biçimindeki serilerdir.","p serisi testine göre, p>1 ise seri yakınsak, p≤1 ise seri ıraksaktır.","Sorudaki p=3 olduğundan, seri yakınsaktır."]},"beginTime":304,"endTime":410,"href":"/video/preview/7721137960984409545?parent-reqid=1769811339700966-1757023205810743128-balancer-l7leveler-kubr-yp-vla-157-BAL&text=l+0+seri_..keys+1&t=304&ask_summarization=1"},{"index":3,"title":"Üçüncü Soru Çözümü","list":{"type":"unordered","items":["Üçüncü soru, geometrik seri testi ile çözülür; geometrik serilerde ortak çarpan bulunur.","Geometrik seride ortak çarpan r\u003c1 ise seri yakınsak, r>1 ise seri ıraksaktır.","Sorudaki ortak çarpan 2/3 olduğundan, seri yakınsaktır."]},"beginTime":410,"endTime":524,"href":"/video/preview/7721137960984409545?parent-reqid=1769811339700966-1757023205810743128-balancer-l7leveler-kubr-yp-vla-157-BAL&text=l+0+seri_..keys+1&t=410&ask_summarization=1"},{"index":4,"title":"Dördüncü Soru Çözümü","list":{"type":"unordered","items":["Dördüncü soru, integral testi ile çözülür; integral testi, serinin içindeki ifadenin integralini alabileceğimiz durumlarda uygulanır.","Integral testinde, 1'den sonsuza kadar integral alınır ve genelleştirilmiş integral (improper integral) olarak hesaplanır.","İntegralin sonucu sonsuz çıkarsa seri ıraksak, sayı çıkarsa seri yakınsaktır."]},"beginTime":524,"endTime":881,"href":"/video/preview/7721137960984409545?parent-reqid=1769811339700966-1757023205810743128-balancer-l7leveler-kubr-yp-vla-157-BAL&text=l+0+seri_..keys+1&t=524&ask_summarization=1"},{"index":5,"title":"Beşinci ve Altıncu Soru Çözümü","list":{"type":"unordered","items":["Beşinci soru, p serisi testi ile çözülür; p=1/3 olduğundan seri ıraksaktır.","Altıncı soru, faktöriyel ve üst üstel ifadeler içeren seriler için oran testi ile çözülür.","Oran testinde, limit 1'den küçük çıkarsa seri yakınsak, 1'den büyük çıkarsa seri ıraksaktır, 1'e eşit çıkarsa test sonuç vermez."]},"beginTime":881,"endTime":1018,"href":"/video/preview/7721137960984409545?parent-reqid=1769811339700966-1757023205810743128-balancer-l7leveler-kubr-yp-vla-157-BAL&text=l+0+seri_..keys+1&t=881&ask_summarization=1"},{"index":6,"title":"Oran Testi ve Faktöriyel","list":{"type":"unordered","items":["Oran testi için n+1 faktöriyel ifadesi n+1 çarpı n faktöriyel şeklinde yazılabilir ve n faktöriyeller birbirini götürür.","Limit n sonsuza giderken n+1 üzeri n bölü n üzeri n ifadesinin sonucu belirlenmesi zordur ve bu oran testini iptal etmek gerekir.","Faktöriyel içeren serilerde oran testi çözebilir ancak bu işlemler oldukça zordur."]},"beginTime":1046,"endTime":1116,"href":"/video/preview/7721137960984409545?parent-reqid=1769811339700966-1757023205810743128-balancer-l7leveler-kubr-yp-vla-157-BAL&text=l+0+seri_..keys+1&t=1046&ask_summarization=1"},{"index":7,"title":"N'inci Terim Testi","list":{"type":"unordered","items":["Matematikte en hızlı büyüyen ifadeler n üzeri n'dir, ardından n faktöriyel gelir ve en son üst teller (5³ gibi) gelir.","Payın büyüme hızı faydadan büyük olduğunda sonuç sonsuz olur ve payın derecesi faydadan büyükse sonuç sonsuzdur.","Payın derecesi faydadan büyük olduğu için sonuç sonsuz etti ve bu seri ıraksak oldu."]},"beginTime":1116,"endTime":1209,"href":"/video/preview/7721137960984409545?parent-reqid=1769811339700966-1757023205810743128-balancer-l7leveler-kubr-yp-vla-157-BAL&text=l+0+seri_..keys+1&t=1116&ask_summarization=1"},{"index":8,"title":"Kök Testi","list":{"type":"unordered","items":["Bir ifadenin üzerine en üste konulduysa bu kök testi ile çözülür ve n'inci dereceden kök içine atılır.","Kök testinde limitin sonucu bir'den küçük çıkarsa seri yakınsar, bir'den büyük çıkarsa ıraksaktır, bir'e eşit çıkarsa test işe yaramaz.","N'inci dereceden üs varsa n'inci dereceden kök içine atılır, iki'nci dereceden üs varsa iki'nci dereceden kök içine atılır."]},"beginTime":1209,"endTime":1326,"href":"/video/preview/7721137960984409545?parent-reqid=1769811339700966-1757023205810743128-balancer-l7leveler-kubr-yp-vla-157-BAL&text=l+0+seri_..keys+1&t=1209&ask_summarization=1"},{"index":9,"title":"Alternatif Seri Testi","list":{"type":"unordered","items":["Eksi bir üzeri n içeren seriler 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