Value of the integral e^2z / c^z-2 dz where C:|z|= 3 is
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it's pretty easy if you concentrate
Let h(z) be the integrand . Then h(z) = e^z /(z -1) . and z =1 liesinside it..More over e^z is analytic inside and on that circle. So by Cauchy’s integral formula
the integral over | z| = 2 is 2(pi) i x e^1 = 2(pi)e
I hope it was helpful
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