The continuous extension of f(x) f (x) at x = c x = c makes the function continuous at that point. Can you elaborate some more? I wasn't able to find very much on "continuous extension" …

Nov 14, 2012 · Closure of continuous image of closure Ask Question Asked 12 years, 8 months ago Modified 12 years, 8 months ago

Jan 27, 2014 · To understand the difference between continuity and uniform continuity, it is useful to think of a particular example of a function that's continuous on R R but not uniformly …

May 21, 2012 · 72 I found this comment in my lecture notes, and it struck me because up until now I simply assumed that continuous functions map closed sets to closed sets. What are …

Sep 10, 2018 · Closure and continuous map Ask Question Asked 6 years, 10 months ago Modified 6 years, 10 months ago

Oct 15, 2016 · A continuous function is a function where the limit exists everywhere, and the function at those points is defined to be the same as the limit. I was looking at the image of a …

Oct 29, 2020 · These one-sided limits exist essentially by the continuous version of the monotone convergence theorem. From the left, the function is increasing and bounded above by g(x0 + …

Continuous function proof by definition Ask Question Asked 12 years, 4 months ago Modified 6 years, 2 months ago

Continuous uniform distribution over a circle with radius R Ask Question Asked 11 years, 11 months ago Modified 2 years, 4 months ago

A continuous function f f from a closed bounded interval [a, b] [a, b] into R R is uniformly continuous Ask Question Asked 12 years, 4 months ago Modified 6 years, 6 months ago