Solving Limit to inf Problem: Use Indeterminate Forms & l'Hospital's Rule

[chocolatedady]

Hi, I have a limit question which I can't find out the answer to.
I think using indeterminate forms and l'hospital's rule is the solution in doing this but can't find out the right way to set it up.

[PLAIN]http://img130.imageshack.us/img130/662/lim.png

Any help would be appreciated.

 

[stevenb]

Hi, I have a limit question which I can't find out the answer to.
I think using indeterminate forms and l'hospital's rule is the solution in doing this but can't find out the right way to set it up.

[PLAIN]http://img130.imageshack.us/img130/662/lim.png

Any help would be appreciated.

What if you write your function as follows?

$${{(1-5/x)^{1/3}-1}\over{1/x}}$$

 

[chocolatedady]

Awesome, thanks a lot man! -5/3 for the answer