A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 2 years ago
\[\lim_{n \rightarrow \infty}(\frac{ 1 }{ 1*3 }+\frac{ 1 }{ 3*5 }+......\frac{ 1 }{ (2n1)(2n+1) })\]
 2 years ago
\[\lim_{n \rightarrow \infty}(\frac{ 1 }{ 1*3 }+\frac{ 1 }{ 3*5 }+......\frac{ 1 }{ (2n1)(2n+1) })\]

This Question is Closed

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.12=31 so, 1/1*3 = 1/2(2/1*3) = 1/2((31)/3*1) = 1/2[11/3] do this for every term. should i do it in latex, or you got it ?

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.1\[\frac{1}{1 \times 3}=\frac{1}{2} \times \frac{2}{1 \times 3}=\frac{1}{2} \times[\frac{31}{1 \times 3}]=\frac{1}{2} \times[\frac{1}{1 }\frac{1}{ 3}]\] do this for every term.

hartnn
 2 years ago
Best ResponseYou've already chosen the best response.12nd term = 1/3 1/5 notice 1/3 will get cancelled, and if you go on, all the terms excepts 1st and last will get cancelled.

Yahoo!
 2 years ago
Best ResponseYou've already chosen the best response.1Would u Call This Partial Fraction Decomposition?

Yahoo!
 2 years ago
Best ResponseYou've already chosen the best response.1it would be n /(2n+1) ryt? @hartnn

RadEn
 2 years ago
Best ResponseYou've already chosen the best response.0use the telescopic's principle, it can be 1/2 (1  1/(2n+1)) 1/2 (2n/(2n+1)) just look the cofficient of n, they are same) :)
Ask your own question
Ask a QuestionFind 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.