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lim n to infinity 5^n+1/(n+1)! i knew i should use L hospital rule but how i...

lim n to infinity 5^n+1/(n+1)! i knew i should use L hospital rule but how i derivative the top and the bottom

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Answer #1

We use theorem which says that, If {Sn} be a sequence of positive numbers with Sn not equal to zero for all n€N.Let

limit n-->infinity [Sn+1/Snn]=l where -1< l <1.then

limit n--->infinity Sn =0.

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