What is the limit of as . I know the limit of as is 0, but since the limit doesn't exist as , is there a limit as ?
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A limit exists if and only if:
There are more requirements, but this is what pertains to your problem.
Last edited by Aryth; Oct 7th 2008 at 09:08 AM.
So that Means No limit exists?
Exactly. You have to be able to arrive at the same limit from both directions. If one does not exist or is not equal to the other, then no limit exists.
O.K..Can one say that is continuous at x=0.
Originally Posted by pankaj O.K..Can one say that is continuous at x=0. Yes. The domain is and since it is continous.
Originally Posted by ThePerfectHacker Yes. The domain is and since it is continous. So the limit to my question is 0?
Originally Posted by kbartlett So the limit to my question is 0? Yes
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