find the limit as x approaches 0 of (1/x) to the x power

Printable View

- August 2nd 2010, 11:10 PMmarymmlimit
find the limit as x approaches 0 of (1/x) to the x power

- August 2nd 2010, 11:19 PMyeKciM
- August 2nd 2010, 11:22 PMJskid
Judging by the graph of the function the limit does not exist. But it's bean a while since I've calculated a limit and may be wrong(Doh)

Actually I'm curious how does ? The function keeps getting more complex each time a derivitive is taken and since log is undefined at 0 you can't use L'Hopital's rule. - August 2nd 2010, 11:54 PMmarymm
we need to take the natural log of y=x ln 1/x

but after that i get confused - August 2nd 2010, 11:58 PMmarymm
then the limit

- August 3rd 2010, 12:24 AMCaptainBlack