A community for students.
Here's the question you clicked on:
 0 viewing
chris
 5 years ago
what is the sum of 1/n^2 from 0 to infinity?
chris
 5 years ago
what is the sum of 1/n^2 from 0 to infinity?

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I would like to know how tosolve that as well.

siddharth
 5 years ago
Best ResponseYou've already chosen the best response.0Isn't this the Euler Series?

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.0Yeah, I think this sum doesn't converge, but I'm not sure. The ratio test and root test seem to be inconclusive in this case.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0By integral test, it does converge

siddharth
 5 years ago
Best ResponseYou've already chosen the best response.0Oh right, this is the basel problem that Euler solved, which made him famous

shadowfiend
 5 years ago
Best ResponseYou've already chosen the best response.0Fair point, it does. Good catch siddharth!

Chris
 5 years ago
Best ResponseYou've already chosen the best response.0ah sorry, i should have said 1 to infinity :). 1/0^2 can obviously not converge

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0The answer is \[\pi ^{2}/6\]
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.