A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
sum from n=2 to infinity of 1/((ln(n))^(ln(n))) does it converge or diverge?
anonymous
 3 years ago
sum from n=2 to infinity of 1/((ln(n))^(ln(n))) does it converge or diverge?

This Question is Open

across
 3 years ago
Best ResponseYou've already chosen the best response.0This is the wrong section, buddy.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Well, there is no calculus 2 subtopic haha \[\sum_{n=1}^{\infty} \frac{ 1 }{ \ln n ^{\ln n} }\] Is this the equation?

across
 3 years ago
Best ResponseYou've already chosen the best response.0Let \(N=2\), and\[f(n)=\frac{1}{\ln n^{\ln n}}.\]Then, since \(f\) is monotonically decreasing on \([N,\infty)\), you can use the integral test for convergence:\[\int_{N}^{\infty}f(n)\,dn=\int_{2}^{\infty}\frac{1}{\ln n^{\ln n}}\,dn=\infty.\]Therefore, the series diverges.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.