please do exercise 25

Theorem 5 If f (2) is regular in the region R. encompassed by the closed curve C, and if zo is any point in the interior of R, then f (z) Je (z - 20)74 41 12 = (16) n! f ( 7 ) (20) , where f()(20) is the nith derivative of (z) evaluated at z = 20." Exercise 23 Use Theorem 5 to evaluate sinh z dz , 24 where C is the unit circle centered at the origin. Exercise 24 Prove Theorem 5 for n = 1. Exercise 25 Use mathematical induction to prove Theorem 5 for n > 1