Prove that if and if , then there exists a natural number such that for all .

My thoughts

Intuitively, this makes sense. If as then this means that at some point where .

So far I've gotten:

Given then,

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- Feb 3rd 2010, 04:35 PMLuxuryAdvanced Calculus - Limit Proof
Prove that if and if , then there exists a natural number such that for all .

**My thoughts**

Intuitively, this makes sense. If as then this means that at some point where .

So far I've gotten:

Given then,

- Feb 3rd 2010, 04:44 PMDrexel28
- Feb 3rd 2010, 05:10 PMLuxury
- Feb 3rd 2010, 05:27 PMDrexel28
- Feb 21st 2010, 11:30 PMJeanneLim(x_n)=x and x>0
Since x>0, it is a little easier to simply let x=epsilon.

Substitute in x for epsilon in you inequality.

And since from the definition of the , let K(epsilon) = M.