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**Ricky****Moderator**- Registered: 2005-12-04
- Posts: 3,791

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 (2005-12-18 16:38:39)*

"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..."

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**krassi_holmz****Real Member**- Registered: 2005-12-02
- Posts: 1,908

I don't know better method, but here how I solve this:

, but

but and , so and

*Last edited by krassi_holmz (2005-12-18 17:43:05)*

IPBLE: Increasing Performance By Lowering Expectations.

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**krassi_holmz****Real Member**- Registered: 2005-12-02
- Posts: 1,908

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.

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**krassi_holmz****Real Member**- Registered: 2005-12-02
- Posts: 1,908

But it won't work in all ways: It can bring to something like that:

IPBLE: Increasing Performance By Lowering Expectations.

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**krassi_holmz****Real Member**- Registered: 2005-12-02
- Posts: 1,908

IPBLE: Increasing Performance By Lowering Expectations.

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