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

Supremums and Infimums (Introduction to Real Analysis I)

  • #1
This is the only way I knew how to get all the math symbols in one document. I hope the link works.

http://www.4shared.com/file/63754067/34c48bd5/SupremumInfimum.html"

I've done all my work there on the document.

Any help, corrections, tips, suggestions are greatly appreciated. Thank you very much!
 
Last edited by a moderator:

Answers and Replies

  • #2
statdad
Homework Helper
1,495
35
Most look good - think about whether [tex] 0 \in \mathbb{N} [/tex].

As a comment: for some of the sequences you have comments like this: ''the sup is [tex] 1 [/tex] when [tex] n [/tex] is odd''

That isn't the correct way to think about it. The range of the sequence is a set of numbers, and you are looking for the supremum of that set. If that is indeed [tex] 1 [/tex], you don't need to make any reference to the value of [tex] n [/tex] - simply say [tex] \sup \mathcal{C} = 1 [/tex]
 
  • #3
thanks!
 

Related Threads for: Supremums and Infimums (Introduction to Real Analysis I)

Replies
7
Views
866
Replies
0
Views
1K
Replies
2
Views
7K
  • Last Post
Replies
1
Views
1K
Replies
1
Views
2K
Replies
2
Views
3K
  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
1
Views
1K
Top