# Math Help - [SOLVED] proving limits

1. ## [SOLVED] proving limits

Prove that $lim (x -> 0) x^4 cos 2/x = 0$

I don't get it.. do I use the squeeze theorem to prove it or something else??

2. Originally Posted by TGS
Prove that $lim (x -> 0) x^4 cos 2/x = 0$

I don't get it.. do I use the squeeze theorem to prove it or something else??
yes, use squeeze with $f(x) = -x^4$, $g(x) = x^4 cos(\frac{2}{x})$ and $h(x) = x^4$

check conditions: $f(x) \leq g(x) \leq h(x)$ near x=a.
and: the limits of the outer functions coincide.

I recognize this problem. Are you using Stewart?

Good luck!

3. yes, its from Stewart and thanks