Write a proof for this theorem:  Let the sum from n=1 to infinity of a-sub n be a series. Then the limit as n approaches infinity of the absolute value of a-sub (n+1) divided by a-sub n equals one if and only if the limit as n approaches infinity of the nth root of the absolute value of a-sub n equals one.

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Q: find

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A: We can solve this as follows:

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A: Given problem is :