Can you please assist with homework problems attached?
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A. The Taylor series for about is given by
Since for all n, we have for all n, whence
B. Below is a plot of along with the four-term Taylor approximation computed above.
C. The first six terms of the Taylor expansion of are as follows:
This is a much better approximation, especially close the origin, ...
We compute the Taylor series of some functions and graph them along with the first few terms of the series.