• Support PF! Buy your school textbooks, materials and every day products Here!

Converging analysis question

  • Thread starter gomes.
  • Start date
  • #1
58
0
Stuck on part iii, im not sure what i've done wrong as my answer seems correct! any help wil be appreciated.

And err, I cant seem to do part (iv) and (v), any help will be appreciated, thanks!
 

Attachments

Answers and Replies

  • #2
22,097
3,280
It seems that you want to show

[tex]\frac{1-\frac{1}{2r}}{1+\frac{1}{r}}\leq \frac{1}{(1+\frac{1}{r})^{3/2}}[/tex]

This is equivalent to

[tex](1-\frac{1}{2r})(1+\frac{1}{r})^{3/2}\leq 1+\frac{1}{r}[/tex]

Try to work this out. Things you could do to simplify this is squaring both terms and multiplying both sides by a suitable power of r.
 

Related Threads on Converging analysis question

  • Last Post
Replies
3
Views
729
  • Last Post
Replies
6
Views
1K
Replies
1
Views
503
  • Last Post
Replies
1
Views
747
  • Last Post
Replies
1
Views
1K
Replies
3
Views
1K
  • Last Post
Replies
3
Views
3K
  • Last Post
Replies
0
Views
940
Top