4. Consider the power series nr"-1. TE p. (a) Let p be the radius of convergence of the above power series. Find the val

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4 Consider The Power Series Nr 1 Te P A Let P Be The Radius Of Convergence Of The Above Power Series Find The Val 1 (15.81 KiB) Viewed 27 times

4. Consider the power series nr"-1. TE p. (a) Let p be the radius of convergence of the above power series. Find the value of (b) Let Let f(1) = {n?"-1 for \r\ <p. Define g() - 5 st) dt and h(x) = 5*964) dt for x <p. Write down the power series of g() and h(x) and hence find the closed form of f(x) i.e. an algebraic expression in z without infinite sum. n=1