Question

Asked Nov 7, 2019

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.

Step 1

Given sum from n=1 to infinity of a-sub n be a series. Then

Step 2

Let use another sequence <b_{n}

Step 3

There exists a sequence <bn> such t...

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