Help with Sequence

1. The problem statement, all variables and given/known data

Determine whether the following sequence converges or diverges. If converges, find the limit:

a = [1+(2/n)]^n

2. Relevant equations

3. The attempt at a solution

I thought the limit would be one as inside the brackets at infinity it would be 1^n which would equal 1

*the answer given at the back of the book is e^2

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