Tag Archive for: continuity

Epsilontic limits and continuity

Epsilontic – Limits and Continuity

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Abstract I remember that I had some difficulties moving from school mathematics to university mathematics. From what I read on PF through the years, I…
Limit of a Function

What Is a Limit of a Function? Definition, Laws & Examples

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A limit describes the value a function or sequence approaches as its input gets arbitrarily close to a specific point, without requiring the function to…
differentiable function 2

Nowhere Differentiable Functions: Fejér Kernel & Cesàro Sums

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This is Part 2 of a series of articles in which the goal is to exhibit a continuous function that is nowhere differentiable and to explore some interesting…
differentiable function

Constructing a Continuous but Nowhere Differentiable Function

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When studying calculus, we learn that every differentiable function is continuous, but a continuous function need not be differentiable at every point.…