Question

If $f$ is differentiable and monotonic on $ [a,b] $, is $f'$ continuous on $ [a,b] $?

score 95 · Answer 1 · 2026-03-29 10:15:29

95

Views

If $f$ is differentiable and monotonic on $ [a,b] $, is $f'$ continuous on $ [a,b] $?

Published on 29 Mar 2026 - 10:15

score 476 · Answer 2 · 2026-03-31 18:21:29

476

Views

Strategy in a waiting time game: fisherman's dilemma

Published on 31 Mar 2026 - 18:21

score 319 · Answer 3 · 2018-01-22 11:46:01

319

Views

Does $f_n(x) = n^2x^2(1-x)$ converge uniformly to $f$ on [0,1]?

Published on 22 Jan 2018 - 11:46

score 80 · Answer 4 · 2026-03-25 08:08:37

80

Views

Evalute the Lebesgue integral $\int_{[0, 1]}f dm$

Published on 25 Mar 2026 - 8:08

score 52 · Answer 5 · 2026-04-01 05:47:55

52

Views

Show $\lim_n f(n)=0$

Published on 01 Apr 2026 - 5:47

score 719 · Answer 6 · 2026-04-01 01:06:01

719

Views

Real numbers to real powers

Published on 01 Apr 2026 - 1:06

score 421 · Answer 7 · 2018-01-22 18:43:37

421

Views

Area of cycloid

Published on 22 Jan 2018 - 18:43

score 50 · Answer 8 · 2026-04-01 00:09:40

50

Views

On the compactness of a set of functions that satisfy mean value property

Published on 01 Apr 2026 - 0:09

score 799 · Answer 9 · 2018-01-23 02:51:51

799

Views

Continuous almost everywhere versus equal to a continuous function almost everywhere.

Published on 23 Jan 2018 - 2:51

score 1.4k · Answer 10 · 2026-04-03 19:54:29

1.4k

Views

Why do we need the axiom of choice?

Published on 03 Apr 2026 - 19:54

score 49 · Answer 11 · 2026-03-25 06:13:26

49

Views

$f$ Riemann int; $\exists$ cont. fcn. $g$ s.t $\int |f(x)-g(x)| dx < \epsilon$. Show supp $g$ can be taken to be arbitrarily small nbhd of supp $f$.

Published on 25 Mar 2026 - 6:13

score 233 · Answer 12 · 2026-03-25 03:07:40

233

Views

What is the condition $|f(x)| \le f(|x|)$ called?

Published on 25 Mar 2026 - 3:07

score 99 · Answer 13 · 2026-04-03 15:59:36

99

Views

comptuting $ \lim\limits_{n\to\infty} \frac{3^{n}+\sqrt{n}}{n!+2^{(n+1)}}$

Published on 03 Apr 2026 - 15:59

score 3k · Answer 14 · 2026-04-04 01:04:29

3k

Views

Embeddings between Hölder spaces $ C^{0,\beta} \hookrightarrow C^{0, \alpha} .$

Published on 04 Apr 2026 - 1:04

score 175 · Answer 15 · 2018-01-23 17:06:56

175

Views

Fourier transform of PDF of t-distribution

Published on 23 Jan 2018 - 17:06

List Question

If $f$ is differentiable and monotonic on $ [a,b] $, is $f'$ continuous on $ [a,b] $?

Strategy in a waiting time game: fisherman's dilemma

Does $f_n(x) = n^2x^2(1-x)$ converge uniformly to $f$ on [0,1]?

Evalute the Lebesgue integral $\int_{[0, 1]}f dm$

Show $\lim_n f(n)=0$

Real numbers to real powers

Area of cycloid

On the compactness of a set of functions that satisfy mean value property

Continuous almost everywhere versus equal to a continuous function almost everywhere.

Why do we need the axiom of choice?

$f$ Riemann int; $\exists$ cont. fcn. $g$ s.t $\int |f(x)-g(x)| dx < \epsilon$. Show supp $g$ can be taken to be arbitrarily small nbhd of supp $f$.

What is the condition $|f(x)| \le f(|x|)$ called?

comptuting $ \lim\limits_{n\to\infty} \frac{3^{n}+\sqrt{n}}{n!+2^{(n+1)}}$

Embeddings between Hölder spaces $ C^{0,\beta} \hookrightarrow C^{0, \alpha} .$

Fourier transform of PDF of t-distribution

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