## Question

###### 1 Find the radius of convergence of the power series with each of the following coefficients:(a) ak = k(b)ak = k!(c) ak = 2k(d) ak =e-k2 Find the sum of each of the followng power seriers:aC(-1)*z2k k=0(6) C(-1)*2* k=13_ Find the Maclaurin seriers representation of function f(2)2 + 1 f(z) =(a) f(z) = e2?(b) f(2) = sinh(2)

1 Find the radius of convergence of the power series with each of the following coefficients: (a) ak = k (b)ak = k! (c) ak = 2k (d) ak =e-k 2 Find the sum of each of the followng power seriers: a C(-1)*z2k k=0 (6) C(-1)*2* k=1 3_ Find the Maclaurin seriers representation of function f(2) 2 + 1 f(z) = (a) f(z) = e2? (b) f(2) = sinh(2)

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