List questions from continuity

Published on 29 Mar 2026 - 13:40

80

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Is this definition a continuous map?

Published on 16 Dec 2018 - 15:07

24

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Continuity of the functional on the space $L_1$.

Published on 01 Apr 2026 - 8:02

146

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Is $\sin(5x)$ uniformly continuous?

Published on 16 Dec 2018 - 17:18

486

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Show that if $f$ continuous, $f(x_0) = c > 0$, then $\exists$ interval with $x_0$ such that $f(x) > c/2$ for every $x \in I$.

Published on 16 Dec 2018 - 18:36

175

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show that the function $f(x)= \frac{x^2+1}{x+1}$ is continuous at the point $x_0=1$

Published on 26 Mar 2026 - 12:54

34

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Is the following definition an equivalent definition of continuity of a function

Published on 29 Mar 2026 - 8:35

44

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Definition and (non) equivalent definition of f being continuous

Published on 29 Mar 2026 - 8:44

1.4k

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Does the sum of two functions satisfying the intermediate value property also have this property?

Published on 17 Dec 2018 - 9:47

122

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Is sliding mode control complete in mathematics?

Published on 26 Mar 2026 - 17:35

57

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Reason for the integer case and the rational case to be solved differently

Published on 26 Mar 2026 - 15:16

190

Views

Does a continuous function preserve metrizability?

Published on 04 Apr 2026 - 3:33

74

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Continuity of a piecewise defined function

Published on 17 Dec 2018 - 18:43

171

Views

Uniform convergence exercise

Published on 29 Mar 2026 - 15:30

47

Views

Sequences proof exercise

Published on 17 Dec 2018 - 21:44

List Question

Show that the sum is the norm of $l_1$

Is this definition a continuous map?

Continuity of the functional on the space $L_1$.

Is $\sin(5x)$ uniformly continuous?

Show that if $f$ continuous, $f(x_0) = c > 0$, then $\exists$ interval with $x_0$ such that $f(x) > c/2$ for every $x \in I$.

show that the function $f(x)= \frac{x^2+1}{x+1}$ is continuous at the point $x_0=1$

Is the following definition an equivalent definition of continuity of a function

Definition and (non) equivalent definition of f being continuous

Does the sum of two functions satisfying the intermediate value property also have this property?

Is sliding mode control complete in mathematics?

Reason for the integer case and the rational case to be solved differently

Does a continuous function preserve metrizability?

Continuity of a piecewise defined function

Uniform convergence exercise

Sequences proof exercise

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