Section: Engineering Mathematics | Marks: 2
Let denote the set of complex numbers and 2 1. i =− Let γ be the simple positively oriented circle | | 1 z = and { } 0 | | 2 S z z = ∈ < < . If : f S → is analytic in S and is given by 2 0 1 7 ( ) , 8 2 n n n f z a z z S z z ∞ = = + + ∈ ∑ then the value of the contour integral 1 ( ) cos ze f z dz i z γ π + ∫ is
- A. 0
- B. 1 8
- C. 7
- D. 7 2
Answer: C. 7