# Another limit homework problem

1. Sep 12, 2010

### calculus_jy

This questions has been bothering me for quiet a while

Does $$lim_{x\rightarrow \infty} f(x)=0 \Rightarrow lim_{x\rightarrow \infty} f'(x)=0$$ if so can you please post a proof because its giving me a headache. If not would it please be possible for you to give me a counter example.

Many thanks

Last edited: Sep 12, 2010
2. Sep 12, 2010

### least_action

Re: lim

$$\frac{sin(x^2)}{x}$$