4. Consider the power series nºz”-1. n=1 (a) Let р be the radius of convergence of the above power series. Find the valu

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4. Consider the power series nºz”-1. n=1 (a) Let р be the radius of convergence of the above power series. Find the value of p. (b) Let Let f(x) = { 122"-1 for 101<p. Define g(x) = [” s() dt and h(x) [* g g(t) dt dt for n=1 |x] <p. Write down the power series of g(x) and h(x) and hence find the closed form of f(x) i.e. an algebraic expression in x without infinite sum.