Ahh help please for calc 2

  • Thread starter belleamie
  • Start date
  • #1
24
0

Main Question or Discussion Point

Hey I have attach one of the practice exam that my professor gave out yrs ago as a study guide for our final. I think i need to use comparison for hte first two problems but have no clue where to start for the last one :(
 

Attachments

Answers and Replies

  • #2
shmoe
Science Advisor
Homework Helper
1,992
1
I don't believe 1) unless you assume [tex]\lim_{n\rightarrow\infty}na_n[/tex] exists. In this case, show that eventually [tex]a_n>L/n[/tex] where L is some fixed positive constant, and the result follows (comparison with harmonic series).

For 2) a straightforward comparison test will do- what have you tried?

For 3a) this should remind you of the usual proof that the harmonic series diverges, where you group the terms 1/3 and 1/4 together, 1/5 to 1/8 together, 1/9 to 1/16 together etc..

3b) shouldn't be a problem?
 
  • #3
dextercioby
Science Advisor
Homework Helper
Insights Author
12,988
543
You know you're more than 3 years late with your homework :buggrin:

Daniel.
 

Related Threads on Ahh help please for calc 2

  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
13
Views
3K
  • Last Post
Replies
6
Views
1K
  • Last Post
Replies
8
Views
2K
  • Last Post
Replies
8
Views
2K
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
4
Views
2K
Top