- #1
Marylander
- 8
- 0
Homework Statement
Compute lim as x goes to infinity of (1+1/x^2)^x
Homework Equations
I know that lim at infinity (1+1/x)^x=e
I do not know if that is still valid with the x^2 there. I don't really think it is, but it's throwing me off.
The Attempt at a Solution
Beyond the above bit of knowledge, 1/x^2 goes to 0, leaving me with 1 to a power. So the limit should be 1, I believe, but I want to make absolutely sure.