Recent content by Monte_Cristo

I deeply apologize, the summation is: ∞ ∑ 1/{1+n[(ln n)^2]} n=1 I am so sorry that I made the typo error. lol but still I can't find the solution! :)

oh my goodness! Now I see that why the Direct Comparison Test can not work on this solution. By saying "manual way", I mean that if I write down the series (a1 + a2 + a3...an), then my answer turns out to be convergent. Thanks for your help! But it would be good if I can get some more! :)...

Homework Statement Determine whether the infinite series converge or diverge? ∞ ∑ 1/{1+n[(ln n)^2]} n=0 Homework Equations Direct Comparison test Limit Comparison test Root test Ratio test integral test The Attempt at a Solution Personally, I think that only two...