Question

Falsly prove that $\sin(x)$ is discontinuous at $0$?

score 304 · Answer 1 · 2018-07-05 22:24:57

304

Views

Falsly prove that $\sin(x)$ is discontinuous at $0$?

Published on 05 Jul 2018 - 22:24

score 64 · Answer 2 · 2026-03-25 14:28:42

64

Views

Misunderstanding a proof regarding continuity of a vector-valued function

Published on 25 Mar 2026 - 14:28

score 1.2k · Answer 3 · 2026-03-23 01:27:18

1.2k

Views

Show the existence of a global maximum of a continuous function with unbounded domain

Published on 23 Mar 2026 - 1:27

score 62 · Answer 4 · 2018-07-06 13:04:39

62

Views

Two functions, each the integral of the other

Published on 06 Jul 2018 - 13:04

score 65 · Answer 5 · 2026-03-25 11:02:43

65

Views

An example for a function that is defined in $[0,1]\rightarrow \mathbb{R}$ and is integrable but is not monotone and not continuous in $[0,1]$

Published on 25 Mar 2026 - 11:02

score 190 · Answer 6 · 2026-03-26 12:05:53

190

Views

Continuity proof of a function between $L^p$ spaces

Published on 26 Mar 2026 - 12:05

score 68 · Answer 7 · 2018-07-06 18:30:16

68

Views

If $f(x)$ is continuous at $x=0$, find $f(0)+2\lambda$.

Published on 06 Jul 2018 - 18:30

score 207 · Answer 8 · 2018-07-07 06:47:30

207

Views

Is this function defined on just the integers continuous?

Published on 07 Jul 2018 - 6:47

score 122 · Answer 9 · 2018-07-07 07:43:35

122

Views

Do I need to construct a function $g$? Royden, Real Analysis, 2.6. item 40.

Published on 07 Jul 2018 - 7:43

score 87 · Answer 10 · 2026-02-23 04:00:34

87

Views

Show that $\exists c\in (a,b)$ such that $2f(c)+f'(c)=0$

Published on 23 Feb 2026 - 4:00

score 931 · Answer 11 · 2018-07-07 20:51:24

931

Views

Is $\int_0^x t\sin(1/t)\,dt$ continuous?

Published on 07 Jul 2018 - 20:51

score 92 · Answer 12 · 2026-03-25 14:20:57

92

Views

Continuity of a function containing infinite sum of floor function

Published on 25 Mar 2026 - 14:20

score 372 · Answer 13 · 2026-03-26 09:36:55

372

Views

Find a discontinuous function defined on $\mathbb{Q}$ embedded in $\mathbb{R}$

Published on 26 Mar 2026 - 9:36

score 32 · Answer 14 · 2018-07-08 09:43:41

32

Views

Correct reasoning for continuity of $f$ in $(0,0,0)$

Published on 08 Jul 2018 - 9:43

score 141 · Answer 15 · 2026-03-25 01:23:49

141

Views

Show that a function of two arguments, which is uniformly Hölder continuous on compact subsets, is jointly continuous

Published on 25 Mar 2026 - 1:23

List Question

Falsly prove that $\sin(x)$ is discontinuous at $0$?

Misunderstanding a proof regarding continuity of a vector-valued function

Show the existence of a global maximum of a continuous function with unbounded domain

Two functions, each the integral of the other

An example for a function that is defined in $[0,1]\rightarrow \mathbb{R}$ and is integrable but is not monotone and not continuous in $[0,1]$

Continuity proof of a function between $L^p$ spaces

If $f(x)$ is continuous at $x=0$, find $f(0)+2\lambda$.

Is this function defined on just the integers continuous?

Do I need to construct a function $g$? Royden, Real Analysis, 2.6. item 40.

Show that $\exists c\in (a,b)$ such that $2f(c)+f'(c)=0$

Is $\int_0^x t\sin(1/t)\,dt$ continuous?

Continuity of a function containing infinite sum of floor function

Find a discontinuous function defined on $\mathbb{Q}$ embedded in $\mathbb{R}$

Correct reasoning for continuity of $f$ in $(0,0,0)$

Show that a function of two arguments, which is uniformly Hölder continuous on compact subsets, is jointly continuous

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