Question: Let C denote the circle |z| = 1, taken counterclockwise, and use the following steps to show that (a) By using the Maclaurin series for

Let C denote the circle |z| = 1, taken counterclockwise, and use the following steps to show that

(a) By using the Maclaurin series for ez and referring to Theorem 1 in Sec. 65, which justifies the term by term integration that is to be used, write the above integral as

(b) Apply the theorem in Sec. 70 to evaluate the integrals appearing in part (a) to arrive at the desired result.

n! (n1)! 0 z" expl-

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