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**1. Homework Statement**

Using comparison test to decide whether or not [tex]\frac{\sqrt{x}}{\ln{x} + x^2}[/tex] converges.

**2. Homework Equations**

(Check 3.)

**3. The Attempt at a Solution**

Okay, so first off, I guess that this converges. So find a function that is

**larger**than the one that is given and test if that converges, yes?

Would: [tex]\frac{\sqrt{x}}{\ln{x} + x^2} < \frac{\sqrt{x}}{x^2}[/tex] be a good choice?

So would I be right in saying that as [tex]x^{-3/2}[/tex] converges, that also the one given converges?

I'm not sure if i've gotten this backwards or not. Could someone please clear it up for me?

Thanks.