Okay, so this was labeled as a "fun problem", but I'm having trouble knowing how to approach it.
I'm given: $\lim\limits_{x \to 0^+} f(x) = A$ and $\lim\limits_{x \to 0^-} f(x) = B$.
I need to find (or at least know where to start):
a) $\lim\limits_{x \to 0^+} f(x^3 - x)$
b) $\lim\limits_{x \to 0^-} f(x^3 - x)$
Any insight on how to approach this (or even a solution) would be greatly appreciated.
Thanks