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Another limit homework problem

  1. Sep 12, 2010 #1
    This questions has been bothering me for quiet a while

    Does [tex]lim_{x\rightarrow \infty} f(x)=0 \Rightarrow lim_{x\rightarrow \infty} f'(x)=0 [/tex] 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. jcsd
  3. Sep 12, 2010 #2
    Re: lim

    [tex]\frac{sin(x^2)}{x}[/tex]
     
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