Question

A confusion about a proof of that $f(x_n) \to f(x)$ then $x_n \to x$.

score 73 · Answer 1 · 2026-03-28 12:14:48

73

Views

A confusion about a proof of that $f(x_n) \to f(x)$ then $x_n \to x$.

Published on 28 Mar 2026 - 12:14

score 57 · Answer 2 · 2026-03-26 22:42:32

57

Views

What is the power series of $a^x$

Published on 26 Mar 2026 - 22:42

score 95 · Answer 3 · 2026-03-25 22:29:05

95

Views

Continuity of a real function defined on an orbit space

Published on 25 Mar 2026 - 22:29

score 130 · Answer 4 · 2026-03-25 04:44:16

130

Views

Prove that $a_n=\sqrt[n]{f\left(\frac{1}{n} \right)^n+f\left(\frac{2}{n} \right)^n+\dots+f\left(\frac{n}{n} \right)^n}$ is convergent

Published on 25 Mar 2026 - 4:44

score 4.5k · Answer 5 · 2026-03-23 04:22:44

4.5k

Views

Solution of Burgers' equation

Published on 23 Mar 2026 - 4:22

score 297 · Answer 6 · 2026-03-24 22:06:22

297

Views

Converting Discrete Random Variables to Continous

Published on 24 Mar 2026 - 22:06

score 149 · Answer 7 · 2018-02-10 18:03:09

149

Views

Proving continuity of a complex function?

Published on 10 Feb 2018 - 18:03

score 45 · Answer 8 · 2018-02-10 21:27:11

45

Views

Prove that $f$ is continuous at $(0, y_0)$ where f is defined on $\mathbb{R}^2$ as follows:

Published on 10 Feb 2018 - 21:27

score 369 · Answer 9 · 2018-02-10 22:35:31

369

Views

Consider a function defined on $\mathbb{R^2}$ by $f(x,y) = ....$

Published on 10 Feb 2018 - 22:35

score 344 · Answer 10 · 2026-03-28 11:53:35

344

Views

Prove there is no bijective continuous function $f:[0,1] \to [0,1]^2$

Published on 28 Mar 2026 - 11:53

score 34 · Answer 11 · 2026-03-28 13:38:43

34

Views

Is the following distance function (measuring the distance from a vector to a set) a continuous function?

Published on 28 Mar 2026 - 13:38

score 85 · Answer 12 · 2026-03-25 11:53:24

85

Views

Counter example: Derivative value at a single point doesn't imply function monotony

Published on 25 Mar 2026 - 11:53

score 13.4k · Answer 13 · 2026-03-25 04:55:33

13.4k

Views

Are functions still continuous even with removable discontinuities?

Published on 25 Mar 2026 - 4:55

score 207 · Answer 14 · 2026-03-20 06:46:18

207

Views

Basic question regarding diffeomorphism and path connectedness

Published on 20 Mar 2026 - 6:46

score 3k · Answer 15 · 2026-03-26 09:19:58

3k

Views

Is $f(z)= |z|$ continuous on the complex plane?

Published on 26 Mar 2026 - 9:19

List Question

A confusion about a proof of that $f(x_n) \to f(x)$ then $x_n \to x$.

What is the power series of $a^x$

Continuity of a real function defined on an orbit space

Prove that $a_n=\sqrt[n]{f\left(\frac{1}{n} \right)^n+f\left(\frac{2}{n} \right)^n+\dots+f\left(\frac{n}{n} \right)^n}$ is convergent

Solution of Burgers' equation

Converting Discrete Random Variables to Continous

Proving continuity of a complex function?

Prove that $f$ is continuous at $(0, y_0)$ where f is defined on $\mathbb{R}^2$ as follows:

Consider a function defined on $\mathbb{R^2}$ by $f(x,y) = ....$

Prove there is no bijective continuous function $f:[0,1] \to [0,1]^2$

Is the following distance function (measuring the distance from a vector to a set) a continuous function?

Counter example: Derivative value at a single point doesn't imply function monotony

Are functions still continuous even with removable discontinuities?

Basic question regarding diffeomorphism and path connectedness

Is $f(z)= |z|$ continuous on the complex plane?

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