Consider the power series 6n xn n! n=1 Find the radius of convergence R. If it is infinite, type "infinity" or "inf". Answer: R What is the interval of convergence? Answer (in interval notation):

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A: Given series is

Q: Find the radius of convergence, R, of the series. 00 8n n = 1 1 R = Find the interval, I, of…

A: Given series, Here,

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A: we have given that ∑k=0∞ark now we use ratio test to proof this statement Ratio test limk→∞ak+1ak=L

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Q: Find the radius of convergence, R, of the series. n-1 R = 3 Find the interval, I, of convergence of…

A: In this question, concept of  Radius of convergence is applied. Radius of convergence The radius of…

Q: E n!. (5x – 1)" n = 1 Find the radius of convergence for the series. R = II

A: We use the formula to find radius of convergence