Could someone help me use L'Hopital's Rule to find the following limit?

lim (as x approaches 0) (1+(3/x))^x

Thank you.

Printable View

- December 2nd 2006, 09:17 AMnanotek887L'Hopital's Rule
Could someone help me use L'Hopital's Rule to find the following limit?

lim (as x approaches 0) (1+(3/x))^x

Thank you. - December 2nd 2006, 09:30 AMTD!
You need to get an indeterminate form such as 0/0 or inf/inf to apply l'Hôpital.

Now we can use the fact that:

Now you have two possibilities, one is: