Теорема Тейлора: многочлены, ряды, пределы. Высшая математика

🎓My original courses in higher mathematics: https://mathstudy.online/highmath My Telegram channels 📲Preparation for the Unified State Exam: https://t.me/mathmsu 📲Preparation for the Moscow State University Far East Institute: https://t.me/mathmsudvi 📲Higher mathematics: https://t.me/pavlikov_advmath 📲Math for grades 5-11: https://t.me/pavlikovmath 📢 VK Group: https://vk.com/hitman_math 🎥 TikTok: / hitman_math 📸 Instagram: / andreypavlikov_math 0:00 What's most important in the first semester 0:38 In this video 0:55 Formula derivation Taylor for Polynomials 7:03 What's the meaning of the Taylor polynomial? 7:51 Is it a vicious circle? 8:30 Expanding a polynomial into powers of a binomial 10:41 Taylor series in Peano form 11:57 Taylor series for exponential, sine, and cosine 13:08 Calculating the complex limit of 1 15:43 Calculating the complex limit of 2 18:26 That was the beginning, now the berries 26:12 There are different ways to solve this, I'll do something more sophisticated 27:32 Understanding Big O and Little O 28:28 What can you do using Taylor's theorem 29:00 Second episode or stream? Mathematical Analysis #Taylor's Theorem #Mathematical Analysis #Higher Mathematics Taylor Polynomial Function Investigating a Function Behavior of a Function Limit of a Function Series Expansion of a Function