# Squeeze Theorem Help

• February 8th 2009, 10:53 AM
Afterme
Squeeze Theorem Help
Hey guys any help on this problem will be appreciated (Wink)

This is the problem

Lim

X->0+

sqrtX times sin(x/absoluted X + x^3)

I'm trying to understand this problem conceptually but having massive problems. Thanks guys.
• February 8th 2009, 12:14 PM
CaptainBlack
Quote:

Originally Posted by Afterme
Hey guys any help on this problem will be appreciated (Wink)

This is the problem

Lim

X->0+

sqrtX times sin(x/absoluted X + x^3)

I'm trying to understand this problem conceptually but having massive problems. Thanks guys.

You want to find:

$\lim_{x \to 0_+} \sqrt{x} \sin(x/(|x+x^3|)$

As $|\sin(x)|\le 1$, we have:

$-\sqrt{x}\le\sqrt{x} \sin(x/(|x+x^3|)\le \sqrt{x}$

and the squeeze theorem should take you from there.

CB