Hey guys. I'm a little new on the comparison test, if you could just check that i'm on the right track, it would be great.(adsbygoogle = window.adsbygoogle || []).push({});

1. The problem statement, all variables and given/known data

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

2. Relevant equations

(Check 3.)

3. The attempt at a solution

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

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# Homework Help: Comprison test for Integrals

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