This was a question on one of our past exams. I don't even know where to start and I'm getting very discouraged.(adsbygoogle = window.adsbygoogle || []).push({});

Given [tex]\int [\frac{1}{\sqrt{1+2x^2}} - \frac{c}{x+1}] = \ln(\frac{\sqrt{1+2x^2} + \sqrt{2}x)}{(x+1)^c}) + k.[/tex]

Find a value c such that [tex]\int_{0}^{\infty} [\frac{1}{\sqrt{1+2x^2}} - \frac{c}{x+1}][/tex] converges.

I tried taking the limit as x-> infinity of the large ln function, but I'm getting nowhere.

Can someone please give me a hint that'll get me started on this question at least?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Tricky Convergence question

**Physics Forums | Science Articles, Homework Help, Discussion**