To find examples and explanations on the internet at the elementary calculus level, try googling the phrase "continuous extension" (or variations of it, such as "extension by continuity") …

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 …

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 $\mathbb R$ but not …

Following is the formula to calculate continuous compounding A = P e^(RT) Continuous Compound Interest Formula where, P = principal amount (initial investment) r = annual interest …

What is the difference between continuous derivative and derivative? According to my teacher's solution to the assignment, it seems there exits a difference between continuous derivative …

Nov 14, 2012 · Closure of continuous image of closure Ask Question Asked 12 years, 11 months ago Modified 12 years, 11 months ago

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Continuous function proof by definition Ask Question Asked 12 years, 7 months ago Modified 6 years, 5 months ago

Jul 3, 2015 · By the above definition any function on $\mathbb {N}$ is continuous. A "discrete space" is usually defined as one in which every subset is open, therefore every function is …

Jun 12, 2016 · Basic real analysis should be a source of at least some intuition (which is misleading at times, granted). Can you think of some compact sets in $\mathbf R$? Are …