# Supremums and Infimums (Introduction to Real Analysis I)

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!

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Most look good - think about whether $$0 \in \mathbb{N}$$.
As a comment: for some of the sequences you have comments like this: ''the sup is $$1$$ when $$n$$ 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 $$1$$, you don't need to make any reference to the value of $$n$$ - simply say $$\sup \mathcal{C} = 1$$