P pamw New member Joined Jan 10, 2007 Messages 8 Mar 30, 2007 #1 \(\displaystyle \[ \int\limits_1^\infty {\frac{1}{{n(1 + \ln ^2 n)}}} \]\) Does this integral converge or diverge? Would I multiply out the n or something? Help!
\(\displaystyle \[ \int\limits_1^\infty {\frac{1}{{n(1 + \ln ^2 n)}}} \]\) Does this integral converge or diverge? Would I multiply out the n or something? Help!
pka Elite Member Joined Jan 29, 2005 Messages 11,978 Mar 30, 2007 #2 If u=ln(n) here is what you have: \(\displaystyle \int\limits_0^\infty {\frac{{du}}{{1 + u^2 }}} .\)