4. Consider the power series n²r¹-1. n=1 (a) Let P be the radius of convergence of the above power series. Find the valu

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4 Consider The Power Series N R 1 N 1 A Let P Be The Radius Of Convergence Of The Above Power Series Find The Valu 1 (28.56 KiB) Viewed 35 times

4. Consider the power series n²r¹-1. n=1 (a) Let P be the radius of convergence of the above power series. Find the value of p. (b) Let Let f(x) = [n²2¹−¹ for |z| < p. Define g(x) = f(t) dt and h(r) · = g(t) dt for n=1 |z| <p. Write down the power series of g(x) and h(r) and hence find the closed form of f(x) i.e. an algebraic expression in a without infinite sum.