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Possible Duplicate:
How can I prove Infinitesimal Limit

Let $$\lim_{x\to 0}f(x)=0$$ and $$\lim_{x\to 0}\frac{f(2x)-f(x)}{x}=0$$ Then what is the value of $$\lim_{x\to 0}\frac{f(x)}{x}$$

  • 0
    I think that the above value depend on the derivation of $f$!2012-12-30
  • 0
    See [here](http://math.stackexchange.com/questions/89575/how-can-i-prove-infinitesimal-limit).2012-12-30

2 Answers 2