Evaluate Limit: sin(cosx-1) / x

[Canuck156]

Hey,

Just need to evaluate this limit, I know that the answer is 0, but I can't figure out how to prove it. Any help is greatly appreciated.

lim(x-0) of (sin(cosx-1))/x

Thanks.

 

[arildno]

Use L'Hopital's rule.

 

[Canuck156]

Oops, figured it out just after I posted... just multiply by (cosx-1)/(cosx-1)... sorry! Somebody can delete the thread if they want...