- 1 Let f(x) = k . 2k - 1 X for x #0 and f(0) = 1. Use the Taylor series for f and f' about 0 to evaluate f'(2) and to find the value of ) (k + 1)! K = 1 k. 2k - 1 (k + 1)! K = 1Use an appropriate Taylor series to find the first four nonzero terms of an infinite series that is equal to sin ( - 2). Write the first four nonzero terms for the series in order. sin ( - 2) = + + + (Simplify your answers.)