How would you show that for every , the limit

exists?

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- Jan 16th 2011, 03:47 AMFGT12Showing that a limit exists
How would you show that for every , the limit

exists? - Jan 16th 2011, 03:51 AMPlato
- Jan 16th 2011, 03:52 AMFGT12
Ive changed it

- Jan 16th 2011, 04:05 AMDrSteve
Use the following facts:

(1) for all

(2) If , then

(3) As goes to infinity, goes to 0 if

Now see if you can put the argument together. - Jan 16th 2011, 04:07 AMProve It
Actually if then .

- Jan 16th 2011, 05:07 AMDrSteve
Thanks Prove It.

Although technically everything I've written is true and is sufficient to finish the argument :)