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CALCULUS-URGENT- no one will respond!!!

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find the radius and interval of convergence for the series

the series from n=1 to infinity of
((-1)^(n+1)*x^n)/n!

I did the ratio test so I had the Lim as n approaches infinity of -x/(n+1), but this is 0, giving no radius, so I think I did something wrong...

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