Uniformly continuous (real analysis)

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I’m looking at the definition and can’t wrap my head around

In: Mathematics

4 Answers

Anonymous 0 Comments

The opposite would be (guess) continuous by chuncks.

Take a pen. Can you draw a single line from left to right that follow your function?

* Yes, it’s uniformly continuous — cos(x)
* No, It’s not uniformly continuous — 1/x
* If you can’t draw a line for part of the region, then it’s not even continuous (don’t have an example for that one)

PS: I tried to be as ELI5 as possible, but I might be wrong given it’s not my native language, and especially for mathematics, word carry precise meaning.

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