# Math Help - Need Help solving limit question

1. ## Need Help solving limit question

Hey, my problems is

what is the limit as x goes to 0 of

(1+x)^(1/x)

the answer is e but how to i prove that on paper?

2. Use the sub t=1/x.

After the sub you will get a famous limit involving e that can be found in any calc book.

3. Hi

lim as x--->0 (1+x)^1/x=expoenential =e

4. Originally Posted by pdkx7x
Hey, my problems is

what is the limit as x goes to 0 of

(1+x)^(1/x)

the answer is e but how to i prove that on paper?

This is the more analytic way of solving the limit.

Does this make sense?

--Chris