List questions from continuity

Published on 25 Mar 2026 - 4:54

33

Views

Limit in $ \mathbb{C}$. Can the function be defined in $ z_{0} = i +1$ so that it remains continuous?

Published on 11 Apr 2026 - 16:28

39

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Continuity of $g(x) = {\max \{f(t) : x + 1 \le t \le x+2 \}}, -3\le x\lt 0$

Published on 27 Apr 2019 - 21:35

88

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Example of a topological space $X$ such that $C_0 (X)$ is not a $C^*$-sub-algebra of $C^b (X)$

Published on 25 Mar 2026 - 23:23

105

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A question about compact support

Published on 08 Apr 2026 - 0:44

3.2k

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Can a function be of class C1 even if its partial derivatives are not continuous?

Published on 09 Apr 2026 - 6:29

43

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If $f(0) = f(n)$ then there are $n$ different $(x , y)$ such that $f(x) = f(y)$ and $x-y \in \mathbb{Z}/\{0\}$

Published on 29 Apr 2019 - 0:52

46

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Is this a valid proof for proving the standard derivative

Published on 30 Mar 2026 - 3:35

450

Views

Dirac measure proof

Published on 29 Apr 2019 - 16:46

1k

Views

Function on half open interval is Riemann-integrable on closed interval

Published on 10 Apr 2026 - 19:22

75

Views

Rolle's Theorem or mean value theorem

Published on 29 Apr 2019 - 21:15

71

Views

Counterexample for a continuous function

Published on 11 Apr 2026 - 19:51

225

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Differentiation on End Points of the interval

Published on 30 Apr 2019 - 14:42

1k

Views

Proving every metric space is normal

Published on 07 Apr 2026 - 21:34

53

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To show continuity of a inverse distribution function

Published on 27 Mar 2026 - 14:10

List Question

Proof that a piecewise function is uniformly continuous

Limit in $ \mathbb{C}$. Can the function be defined in $ z_{0} = i +1$ so that it remains continuous?

Continuity of $g(x) = {\max \{f(t) : x + 1 \le t \le x+2 \}}, -3\le x\lt 0$

Example of a topological space $X$ such that $C_0 (X)$ is not a $C^*$-sub-algebra of $C^b (X)$

A question about compact support

Can a function be of class C1 even if its partial derivatives are not continuous?

If $f(0) = f(n)$ then there are $n$ different $(x , y)$ such that $f(x) = f(y)$ and $x-y \in \mathbb{Z}/\{0\}$

Is this a valid proof for proving the standard derivative

Dirac measure proof

Function on half open interval is Riemann-integrable on closed interval

Rolle's Theorem or mean value theorem

Counterexample for a continuous function

Differentiation on End Points of the interval

Proving every metric space is normal

To show continuity of a inverse distribution function

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