Solve Trig Limit Problem: lim (x->0) \frac{x - sinx}{x^{3}}

[rambo5330]

Homework Statement

is there a way to solve

lim (x->0) $$\frac{x - sinx}{x^{3}}$$


using the fact that sinx / x = 1

or is it much more complicated.. I've tried to break it down into sinx/x everyway i can think of with no luck..

 

[Inferior89]

Do you know l'hospital's rule?

I am thinking of a way to do it with only sin(x)/x but can't come up with a good way immediately.

 

[rambo5330]

I am not familiar with l'hospital's theorem yet...