A simple derivative question. – math.stackexchange.com

A simple derivative question. – math.stackexchange.com

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Let the function $f:\mathbb{R}\rightarrow\mathbb{R}$ be differentiable at $x=0$. Prove that $lim_{x\rightarrow 0}\frac{f(x^2)-f(0)}{x}=0$. The result is pretty obvious to me but I am having a ...

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