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**Does series converge or Diverge????**

## Homework Statement

((2^n)/((n+1)!)) Bottom of Summation: n=0, top is infinity

## The Attempt at a Solution

Replacing the n's with n+1, then inverting and multiplying the following:

((2^n * 2) / ((n+1)+1)n!)) * ((n+1) * n! ) / 2^n

I got 2, with is greater than 1, so it diverges according to the Ratio Test.

Is this correct?