please send step by step handwritten solution for Problem Q3All basic step Fully explained with English Recall that the radius of convergence R of a power serieswith coefficients a, is found by first computingAn+1L = limanand then computingRL'subject to the convention that if L = 0, then R = x and if L = oo,then R = 0. Consider the two power series(-1)"and (-1)- (- 2)"n=1(1) Compute the radius of convergence of each series.(2) Does the first series converge when r = 1/2? Does the secondseries converge with r 1/2? Provide a brief justification foryour answer based on the result of the previous item.(3) Determine the interval of convergence of the first series.

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FRecall that the radius of convergence R of a power series with coefficients a, is found by first computing an+1 L = lim an and then computing 1 R = subject to the convention that if L= 0, then R = 0 and if L = 0, then R = 0. Consider the two power series and (1) Compute the radius of convergence of each series. (2) Does the first series converge when r 1/2? Does the second series converge with r = 1/2? Provide a brief justification for your answer based on the result of the previous item. (3) Determine the interval of convergence of the first series.