A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
Can a realvalued function f(x, k) which has domain x: Reals and k: Positive integers and 0 have the following property?\[\lim_{n\rightarrow\infty}\sum_{k=0}^n\int f(x,k)dx\]The above converges for some x while the below diverges\[\lim_{n\rightarrow\infty}\sum_{k=0}^nf(x,k)\]for the same x?
anonymous
 3 years ago
Can a realvalued function f(x, k) which has domain x: Reals and k: Positive integers and 0 have the following property?\[\lim_{n\rightarrow\infty}\sum_{k=0}^n\int f(x,k)dx\]The above converges for some x while the below diverges\[\lim_{n\rightarrow\infty}\sum_{k=0}^nf(x,k)\]for the same x?

This Question is Closed

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0haha i think u shud try this website.. its pretty helpful on those sequences and series http://tutorial.math.lamar.edu/Classes/CalcII/ConvergenceOfSeries.aspx

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0i aint sure but hope that web helps u

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0I appreciate your try to help but I did pass calculus and if it could have been solved that easily then I wouldn't have asked.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0@Hero @experimentX @radar I'd appreciate some help please.

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.1dw:1345658958087:dw

experimentX
 3 years ago
Best ResponseYou've already chosen the best response.1for value of x=1, try pluggin in WA.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Interesting. So we get: \[\sum_{k=0}^\infty\frac{x^{k^2+1}}{k^2+1}\] Which does indeed converge for x = 1 by pseries and direct comparison test.
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.