0
$\begingroup$

I need to prove that $\lim_{x \to 0}f(x^3)=\lim_{x \to 0}f(x)$. Then give an example of a function f for which $\lim_{x \to 0}f(x^2)$ exists but $\lim_{x \to 0}f(x)$ does not exist

Thank you in advance

  • 0
    The limit of $f(x^3)$ and the limit of $f(x)$ both exist therefore the limit of the difference of the two functions exist as well2012-10-04

2 Answers 2