A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
Which test of convergence should I use? sum((52sqrt(n))/(n^3),x,1,infinity)?
anonymous
 5 years ago
Which test of convergence should I use? sum((52sqrt(n))/(n^3),x,1,infinity)?

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Better format \[\sum_{1}^{\infty}(52\sqrt{n})/n^{3}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0If you break the series into \[\sum_{1}^{\infty}5/n^3+\sum_{1}^{\infty}2/n^2.5\] You'll find that both these series converge by the pseries test. Since both of these converge, the sum of the two is convergent.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Sorry, there's a minus, not a plus... but the result is the same.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Oh wow. That makes a lot of sense. haha I was trying to use integral rule, which wasn't going too well. Thanks!
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.