Solving Power Series with Integral Test for Homework

Click For Summary

Homework Help Overview

The discussion revolves around determining the interval of convergence for a power series involving the expression Ʃ(2n*(x+1)n)/(n*ln(n)). The original poster mentions the integral test as a potential method for this analysis.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • The original poster attempts to differentiate the power series but struggles to identify its form. There are questions about the appropriateness of using the integral test versus other methods, such as the ratio test.

Discussion Status

Some participants have provided guidance suggesting that the integral test may not be necessary for finding the interval of convergence, indicating that the ratio test could be more suitable. There is acknowledgment of confusion regarding the problem setup, and some participants express concern about the urgency of the situation due to an upcoming final exam.

Contextual Notes

Participants are operating under the pressure of an impending final exam, which may influence their approach and understanding of the problem. There is also a mention of a misunderstanding regarding the methods applicable to the problem.

jaqueh
Messages
57
Reaction score
0

Homework Statement


My professor says that the integral test is supposed to help me figure out the interval of convergence of this equation:
Ʃ(2n*(x+1)n)/(n*ln(n))


Homework Equations


integral test


The Attempt at a Solution


i couldn't figure out what the power series was after i differentiated the first few terms of it.
 
Physics news on Phys.org
Why can't i edit my original post? anyways the power series goes from 2 to infinity
 
am i going about this even the right way? please someone i beg you to help me , i have my final tomorrow and this was the last practice problem and i really am worried that something of this caliber will be on the final.
 
pict
 

Attachments

  • Screen shot 2011-12-06 at 10.13.13 PM.png
    Screen shot 2011-12-06 at 10.13.13 PM.png
    7.1 KB · Views: 461
Being in a panic doesn't help. You don't need an integral test to find a basic interval of convergence. A ratio test will do fine. An integral test may help at the endpoints though.
 
omg i misunderstood everything, wow i should do the problem before i read emails, thank you for clearing that up
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 22 ·
Replies
22
Views
4K
  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 16 ·
Replies
16
Views
4K
Replies
6
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 14 ·
Replies
14
Views
3K