51. The series x3 x5 x7 x9 x11 smx=x++ll! converges to sin x for all x. +... 3. Find the first six terms of a series for cos x. For What values of x should the series converge? b. By replacing x by 2x in the series for sin x, find a series that converges to sin 2x for all x. c. Using the result in part (a) and series multiplication, calculate the first six terms of a series for 2 sin x cos x. Compare your answer with the answer in part (b)