Find the limit of (1 + 2/n)^n

[jacoleen]

Homework Statement

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

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

Homework Equations

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

 

[cap.r]

this is a classic limit that defines e. except you do it with e=lim[1+1/n]^n read this past article and see if it helps you.

https://www.physicsforums.com/showthread.php?t=176076