Question

1. Find the Taylor polynomial, degree 4, T4, about 1/2 for f (x) = tan-inv (x)...

1.

Find the Taylor polynomial, degree 4, T4, about 1/2 for f (x) = tan-inv (x) and use it to approximate tan-inv (1/16).

2.

Find the taylor polynomial, degree 4, S4, about 0 for f (x) = tan-inv (x) and use it to approximate tan-inv (1/16).

3.

who provides the best approximation, S4 or T4? Prove it.

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