Prove that $\displaystyle lim (x -> 0) x^4 cos 2/x = 0$
I don't get it.. do I use the squeeze theorem to prove it or something else??
yes, use squeeze with $\displaystyle f(x) = -x^4$, $\displaystyle g(x) = x^4 cos(\frac{2}{x})$ and $\displaystyle h(x) = x^4$
check conditions: $\displaystyle f(x) \leq g(x) \leq h(x)$ near x=a.
and: the limits of the outer functions coincide.
I recognize this problem. Are you using Stewart?
Good luck!