List questions from continuity

Published on 25 Mar 2026 - 3:03

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Why aren’t continuous functions defined the other way around?

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About Definition 4.5, Theorem 4.6, Theorem 4.8 in "Principles of Mathematical Analysis" by Walter Rudin.

Published on 06 Apr 2026 - 7:07

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Can any diverging increasing real sequence be arbitrarily approached by an arithmetic progression?

Published on 31 Jan 2019 - 16:21

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Showing continuity of a function defined as the integral of $\chi \mapsto \chi(x)$ over the dual group $\hat G$

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Graph of continuous functions

Published on 31 Jan 2019 - 23:51

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Continuos functions in metric spaces

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If $f(x)=\int_{0}^{x}\sqrt {f(t)}dt$, then find $f(6)$.

Published on 01 Feb 2019 - 7:03

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Question of two functions which are continuous at a certain point

Published on 26 Mar 2026 - 14:34

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given a continuous function from $f:\mathbb{Q}\to \mathbb{Q}$

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Prove that function is not continuous in $(0, 0)$

Published on 02 Feb 2019 - 11:47

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$f(1+\frac{1}{n})=1$ for all integers $n$ , then find $f"(1)$

Published on 02 Feb 2019 - 15:38

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Regarding continuity for $f(x) = xe^x - 2$

Published on 02 Feb 2019 - 17:10

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Is the function g continuous?

Published on 02 Feb 2019 - 19:45

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$((x/c)^n)$ has no convergent subsequence in C[a,b]

Published on 27 Mar 2026 - 6:17

List Question

If B is a subalgebra of A, conclude that B closure is a subalgebra of A

Why aren’t continuous functions defined the other way around?

About Definition 4.5, Theorem 4.6, Theorem 4.8 in "Principles of Mathematical Analysis" by Walter Rudin.

Can any diverging increasing real sequence be arbitrarily approached by an arithmetic progression?

Showing continuity of a function defined as the integral of $\chi \mapsto \chi(x)$ over the dual group $\hat G$

Graph of continuous functions

Continuos functions in metric spaces

If $f(x)=\int_{0}^{x}\sqrt {f(t)}dt$, then find $f(6)$.

Question of two functions which are continuous at a certain point

given a continuous function from $f:\mathbb{Q}\to \mathbb{Q}$

Prove that function is not continuous in $(0, 0)$

$f(1+\frac{1}{n})=1$ for all integers $n$ , then find $f"(1)$

Regarding continuity for $f(x) = xe^x - 2$

Is the function g continuous?

$((x/c)^n)$ has no convergent subsequence in C[a,b]

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