GATE ECE 2016 Set 3 | Question: 29

Question

The values of the integral $\large\frac{1}{2\pi j}\oint_c\frac{e^z}{(z-2)} \small dz$ along a closed contour $c$ in anti-clockwise direction for

1. the point $z_0=2$ inside the contour $c$, and 
2. the point $z_0=2$ outside the contour $c$,

respectively,are

• A. $(i)2.72, \: (ii) 0$
• B. $(i)7.39, \: (ii) 0$
• C. $(i)0, \: (ii) 2.72$
• D. $(i)0, \: (ii) 7.39$