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#1 2005-12-19 15:34:55
- Ricky
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Limits and multiple variables
Is there any easy way to show the limit of a non-continuous function, that is, besides doing an epsilon-delta proof?
For example, how would you show:
Last edited by Ricky (2005-12-19 15:38:39)
"In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..."
#2 2005-12-19 16:29:09
- krassi_holmz
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Re: Limits and multiple variables
I don't know better method, but here how I solve this:
, but
but and , so and
Last edited by krassi_holmz (2005-12-19 16:43:05)
IPBLE: Increasing Performance By Lowering Expectations.
#3 2005-12-19 17:17:11
- krassi_holmz
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Re: Limits and multiple variables
If you are able to reduce your limit to sum of non-multiple limits you can find them and then you can sumarize them.
IPBLE: Increasing Performance By Lowering Expectations.
#4 2005-12-19 17:19:03
- krassi_holmz
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Re: Limits and multiple variables
But it won't work in all ways: It can bring to something like that:
IPBLE: Increasing Performance By Lowering Expectations.
#5 2005-12-19 17:20:35
- krassi_holmz
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Re: Limits and multiple variables
IPBLE: Increasing Performance By Lowering Expectations.