Video: Taylor series | Chapter 11, Essence of calculus

Taylor polynomials are incredibly powerful for approximations and analysis. Help fund future projects: https://www.patreon.com/3blue1brown An equally valuable form of support is to simply share some of the videos. Special thanks to these supporters: http://3b1b.co/lessons/taylor-series#thanks Home page: https://www.3blue1brown.com/ Full series: http://3b1b.co/calculus

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Timestamps 0:00 - Approximating cos(x) 8:24 - Generalizing 13:34 - e^x 14:25 - Geometric meaning of the second term 17:13 - Convergence issues

Thanks to these viewers for their contributions to translations Hebrew: Omer Tuchfeld Vietnamese: ngvutuan2811

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