Question: a. Use any analytical method to find the first four nonzero terms of the Taylor series centered at 0 for the following functions. You do

a. Use any analytical method to find the first four nonzero terms of the Taylor series centered at 0 for the following functions. You do not need to use the definition of the Taylor series coefficients. 

b. Determine the radius of convergence of the series.

sin x if x + 0 f(x) if x = 0 1

sin x if x + 0 f(x) if x = 0 1

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