Question

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

score 75 · Answer 1 · 2026-04-14 13:21:25

75

Views

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

Published on 14 Apr 2026 - 13:21

score 61 · Answer 2 · 2026-05-10 15:09:29

61

Views

What is the power series of $a^x$

Published on 10 May 2026 - 15:09

score 101 · Answer 3 · 2026-05-13 19:29:30

101

Views

Continuity of a real function defined on an orbit space

Published on 13 May 2026 - 19:29

score 133 · Answer 4 · 2026-05-10 15:26:10

133

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 10 May 2026 - 15:26

score 4.5k · Answer 5 · 2026-05-14 00:38:04

4.5k

Views

Solution of Burgers' equation

Published on 14 May 2026 - 0:38

score 300 · Answer 6 · 2026-05-10 14:47:29

300

Views

Converting Discrete Random Variables to Continous

Published on 10 May 2026 - 14:47

score 152 · Answer 7 · 2026-04-12 03:16:28

152

Views

Proving continuity of a complex function?

Published on 12 Apr 2026 - 3:16

score 48 · Answer 8 · 2026-04-14 12:10:31

48

Views

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

Published on 14 Apr 2026 - 12:10

score 372 · Answer 9 · 2026-04-14 15:43:00

372

Views

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

Published on 14 Apr 2026 - 15:43

score 346 · Answer 10 · 2026-04-14 09:04:25

346

Views

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

Published on 14 Apr 2026 - 9:04

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 88 · Answer 12 · 2026-05-10 18:58:58

88

Views

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

Published on 10 May 2026 - 18:58

score 13.4k · Answer 13 · 2026-05-11 02:19:42

13.4k

Views

Are functions still continuous even with removable discontinuities?

Published on 11 May 2026 - 2:19

score 216 · Answer 14 · 2026-05-05 04:13:01

216

Views

Basic question regarding diffeomorphism and path connectedness

Published on 05 May 2026 - 4:13

score 3k · Answer 15 · 2026-04-12 02:55:46

3k

Views

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

Published on 12 Apr 2026 - 2:55

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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