# Limit Proof

• June 7th 2009, 12:21 AM
Robb
Limit Proof
Hello MHF,
Just doing some study for my final, and not sure on the proof of this question;
Prove that $\lim_{x\to0}x^4\cos\frac{2}{x}=0$

Cheers,
• June 7th 2009, 02:44 AM
CaptainBlack
Quote:

Originally Posted by Robb
Hello MHF,
Just doing some study for my final, and not sure on the proof of this question;
Prove that $\lim_{x\to0}x^4\cos\frac{2}{x}=0$

Cheers,

$\left| x^4 \cos \left( \frac{2}{x} \right) \right| < x^4$

CB