Calculus 2 video that explains Taylor series and Taylor series approximation of a function. We show some reasons why you might choose a Taylor series over a Maclaurin series for approximation, and we work a couple of examples of how to find Taylor polynomials of a particular degree for a function.
0:00 Introduction to Taylor series
1:42 Comparison with Maclaurin series
3:32 Example 1 (Square root function)
10:21 Example 2 (Natural log function)
Houston Math Prep Calculus 2 Playlist: https://www.youtube.com/playlist?list=PLbYOkEbzW900Js4lOcXC_IZq-R1qE6d-X
Houston Math Prep YouTube: https://www.youtube.com/user/HoustonMathPrep
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Taylor Series & Taylor Polynomials (Introduction) | NatokHD