I work through 5 examples of finding nth Taylor Polynomial and Maclaurin Polynomials to estimate the value of any function. I also find the maximum possible error, the Lagrange remainder form, for a given estimation.
Note: Z came from weighted mean value theorem when applied to the integral representation of the Taylor's error. Thank you @Prashant Singh for the explanation of that variable!
Finding a Taylor Polynomial at 4:34 29:26
Graphs of Taylor Polynomials at 9:55
Estimating with a Taylor Polynomial at 12:13
Upper bound of the estimate at 14:21 29:36
Determining the required degree to meet a maximum error at 24:08
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