Question

continuous assumption to evaluate sequence as a limit

score 22 · Answer 1 · 2019-03-07 04:09:43

22

Views

continuous assumption to evaluate sequence as a limit

Published on 07 Mar 2019 - 4:09

score 120 · Answer 2 · 2019-03-07 08:42:46

120

Views

If $2\int_{0}^{1} xf(x)dx\geq\int_{0}^{1}(f(x))^{2}dx$, prove than $\int_{0}^{1}(f(x))^2dx\geq\frac{4}{3}$

Published on 07 Mar 2019 - 8:42

score 61 · Answer 3 · 2019-03-07 14:17:21

61

Views

Determine $k$ so that the function is continuous

Published on 07 Mar 2019 - 14:17

score 47 · Answer 4 · 2019-03-08 02:06:46

47

Views

Concluding a proof about an equivalence of two topologies given by two different metrics.

Published on 08 Mar 2019 - 2:06

score 1.5k · Answer 5 · 2026-03-25 04:53:19

1.5k

Views

Proving piecewise function is not continuous

Published on 25 Mar 2026 - 4:53

score 311 · Answer 6 · 2019-03-08 10:28:56

311

Views

If $f_n,f\in C_0$ and for all $x_n,x$ with $x_n\to x$ we've got $f_n(x_n)\to f(x)$, then $\left\|f_n-f\right\|_\infty\to0$

Published on 08 Mar 2019 - 10:28

score 187 · Answer 7 · 2026-03-25 20:35:21

187

Views

Is compactness (without Hausdorff) enough to get a closed quotient map?

Published on 25 Mar 2026 - 20:35

score 108 · Answer 8 · 2019-03-08 17:15:40

Show that $f(x,y)=\begin{cases} \frac{\phi(x) - \phi(y)}{x-y} & x \not = y\\ \phi'(x) & x=y \end{cases}$ is continuous

score 80 · Answer 9 · 2019-03-08 20:07:54

80

Views

Prove that a specific continuous function is bounded

Published on 08 Mar 2019 - 20:07

score 67 · Answer 10 · 2026-04-05 19:37:09

67

Views

Proof of continuity of a vector function

Published on 05 Apr 2026 - 19:37

score 686 · Answer 11 · 2026-03-25 23:53:00

686

Views

How to show locally Lipschitz on $A \subset \mathbb{R}^n$ implies continuity on $A$?

Published on 25 Mar 2026 - 23:53

score 68 · Answer 12 · 2026-03-26 01:09:24

68

Views

Is $f(t) = e^{X(t)}$ continuous when matrix $X(t)$ is continuous?

Published on 26 Mar 2026 - 1:09

score 126 · Answer 13 · 2026-03-31 05:40:02

126

Views

Bounded metric in compact metric space with continuous function

Published on 31 Mar 2026 - 5:40

score 46 · Answer 14 · 2026-03-26 23:11:44

46

Views

proof lim x-a f(x)= lim x-0 f(x+a) ( duplicate)

Published on 26 Mar 2026 - 23:11

score 65 · Answer 15 · 2019-03-11 19:30:04

65

Views

Find an increasing continuous function such that : $\mid p(x) - p(y) \mid \leq w(\mid x - y \mid)$

Published on 11 Mar 2019 - 19:30

List Question

continuous assumption to evaluate sequence as a limit

If $2\int_{0}^{1} xf(x)dx\geq\int_{0}^{1}(f(x))^{2}dx$, prove than $\int_{0}^{1}(f(x))^2dx\geq\frac{4}{3}$

Determine $k$ so that the function is continuous

Concluding a proof about an equivalence of two topologies given by two different metrics.

Proving piecewise function is not continuous

If $f_n,f\in C_0$ and for all $x_n,x$ with $x_n\to x$ we've got $f_n(x_n)\to f(x)$, then $\left\|f_n-f\right\|_\infty\to0$

Is compactness (without Hausdorff) enough to get a closed quotient map?

Show that $f(x,y)=\begin{cases} \frac{\phi(x) - \phi(y)}{x-y} & x \not = y\\ \phi'(x) & x=y \end{cases}$ is continuous

Prove that a specific continuous function is bounded

Proof of continuity of a vector function

How to show locally Lipschitz on $A \subset \mathbb{R}^n$ implies continuity on $A$?

Is $f(t) = e^{X(t)}$ continuous when matrix $X(t)$ is continuous?

Bounded metric in compact metric space with continuous function

proof lim x-a f(x)= lim x-0 f(x+a) ( duplicate)

Find an increasing continuous function such that : $\mid p(x) - p(y) \mid \leq w(\mid x - y \mid)$

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