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Taylor Series

Offered By: 3Blue1Brown via YouTube

Tags

Taylor Series Courses Geometry Courses Mathematical Analysis Courses Convergence Courses Function Approximation Courses

Course Description

Overview

Explore the power of Taylor polynomials for approximations and analysis in this 22-minute video. Dive into the concept of approximating cos(x), then generalize the approach to other functions. Examine the Taylor series for e^x and uncover the geometric meaning of its second term. Conclude by addressing convergence issues, gaining a comprehensive understanding of this fundamental mathematical tool. Suitable for those interested in advanced calculus and mathematical analysis.

Syllabus

- Approximating cosx
- Generalizing
- e^x
- Geometric meaning of the second term
- Convergence issues


Taught by

3Blue1Brown

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