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GATE ECE 2016 Set 3 | Question: 29

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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

  1. $(i)2.72, \: (ii) 0$
  2. $(i)7.39, \: (ii) 0$
  3. $(i)0, \: (ii) 2.72$
  4. $(i)0, \: (ii) 7.39$

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