The problem: Find the radius and interval of convergence. The attempt: I basically did the ratio test and it equaled 0. So does R = and I = ?
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Originally Posted by Intrusion The problem: Find the radius and interval of convergence. The attempt: I basically did the ratio test and it equaled 0. So does R = and I = ? If there are no errors, the expression can be written as... (1) ... so that the x doesn't play any role in convergence... Kind regards
chisigma's point is that, the way you wrote it here, that is NOT a power series. I expect that you meant Yes, the limit of the ratios is 0 which is less than 1 for all x. The "radius of convergence" is infinite.
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