My Math Forum  

Go Back   My Math Forum > College Math Forum > Real Analysis

Real Analysis Real Analysis Math Forum


Reply
 
LinkBack Thread Tools Display Modes
April 28th, 2012, 07:52 PM   #1
Senior Member
 
Joined: Jan 2010

Posts: 324
Thanks: 0

Convergence and Divergence's

1.


Using the nth term test Diverges right? because

(How do I do the arrows in latex?)
FreaKariDunk is offline  
 
April 28th, 2012, 08:03 PM   #2
Senior Member
 
Joined: Nov 2011

Posts: 595
Thanks: 16

Re: Convergence and Divergence's

Yes of course it diverges, if the sequence does not go to zero, it diverges. I think you can do an arrow with \rightarrow
Dougy is offline  
April 28th, 2012, 08:08 PM   #3
Senior Member
 
MarkFL's Avatar
 
Joined: Jul 2010
From: St. Augustine, FL., U.S.A.'s oldest city

Posts: 12,167
Thanks: 472

Math Focus: Calculus/ODEs
Re: Convergence and Divergence's

Use n\to\infty to get

The limit comparison test also shows it diverges.
MarkFL is online now  
April 28th, 2012, 08:08 PM   #4
Senior Member
 
Joined: Jan 2010

Posts: 324
Thanks: 0

Re: Convergence and Divergence's

So the the r would be 2/3? I dont think that its right...
FreaKariDunk is offline  
April 28th, 2012, 08:11 PM   #5
Senior Member
 
MarkFL's Avatar
 
Joined: Jul 2010
From: St. Augustine, FL., U.S.A.'s oldest city

Posts: 12,167
Thanks: 472

Math Focus: Calculus/ODEs
Re: Convergence and Divergence's

You would have :



edit: Is that the series you meant to give in your first post...now your use of the root test makes more sense.
MarkFL is online now  
April 28th, 2012, 08:12 PM   #6
Senior Member
 
Joined: Jan 2010

Posts: 324
Thanks: 0

Re: Convergence and Divergence's

and the a would be one.
FreaKariDunk is offline  
April 28th, 2012, 08:14 PM   #7
Senior Member
 
MarkFL's Avatar
 
Joined: Jul 2010
From: St. Augustine, FL., U.S.A.'s oldest city

Posts: 12,167
Thanks: 472

Math Focus: Calculus/ODEs
Re: Convergence and Divergence's

You would have:



You could write the series as:

MarkFL is online now  
April 28th, 2012, 08:16 PM   #8
Senior Member
 
Joined: Jan 2010

Posts: 324
Thanks: 0

Re: Convergence and Divergence's

This one also converges? because i have a/1-r is -1/3<1
FreaKariDunk is offline  
April 28th, 2012, 08:17 PM   #9
Senior Member
 
MarkFL's Avatar
 
Joined: Jul 2010
From: St. Augustine, FL., U.S.A.'s oldest city

Posts: 12,167
Thanks: 472

Math Focus: Calculus/ODEs
Re: Convergence and Divergence's

This diverges because . That formula works only for .
MarkFL is online now  
April 28th, 2012, 08:19 PM   #10
Senior Member
 
Joined: Jan 2010

Posts: 324
Thanks: 0

Re: Convergence and Divergence's

Then whats the deal with this formula... a/1-r?

I thought i had to use that for convergence and divergence, but i can just go off of the r?
FreaKariDunk is offline  
Reply

  My Math Forum > College Math Forum > Real Analysis

Tags
convergence, divergence



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Convergence and divergence razzatazz Real Analysis 8 May 10th, 2013 11:30 PM
Convergence and divergence math221 Calculus 3 April 8th, 2013 06:39 AM
Divergence and convergence MathematicallyObtuse Algebra 3 January 29th, 2011 10:35 PM
Maple and Convergence/Divergence Gotovina7 Calculus 0 February 14th, 2008 06:28 PM
Show convergence/divergence. Noworry Calculus 0 December 31st, 1969 04:00 PM





Copyright © 2018 My Math Forum. All rights reserved.