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YouTube

Taylor Series

3Blue1Brown via YouTube

Overview

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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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