Okay, so in general, if I wanted to do a proof to show that some function f(x) is continuous for all x, how do i do that? I mean, general proofs of continuity are easy, but how do you prove it to be continuous for all x in a set?

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- Nov 12th 2009, 12:36 PMjmoney90question on continuity of functions
Okay, so in general, if I wanted to do a proof to show that some function f(x) is continuous for all x, how do i do that? I mean, general proofs of continuity are easy, but how do you prove it to be continuous for all x in a set?

- Nov 12th 2009, 01:16 PMPlato
- Nov 12th 2009, 02:27 PMjmoney90
- Nov 12th 2009, 02:41 PMPlato
- Nov 12th 2009, 06:00 PMjmoney90
I guess general was more the word I was looking for. I understand the idea behind continuity: the limit as x approaches some point is the same as that function at some value, and alos how to formally work the definition. The book didn't give any examples of a prooof in which you'd prove continuity of a function in general.