(1) Let f(:r:)=ta.n:r:, 03225 g. (a) Approximate f by a Taylor polynomial with degree n = 3 at the number a = 0 (b) Use Taylor's Inequality to estimate the accuracy of the approximation f (3:) w Tn(:r,) when 1: lies in the given interval. (2) Find the Taylor series for f (x) centered at the given value of a. TT f (x) = cos x, a = NO