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?

Printable View

- July 27th 2008, 05:26 PMpdkx7xNeed 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? - July 27th 2008, 06:46 PMgalactus
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. - July 27th 2008, 06:53 PMtutor
Hi

lim as x--->0 (1+x)^1/x=expoenential =e - July 27th 2008, 07:51 PMChris L T521
http://img.photobucket.com/albums/v4...e2143a3-18.jpg

This is the more analytic way of solving the limit.

Does this make sense?

--Chris