Question

proving that $n^n \le (n!)^2$

score 135 · Answer 1 · 2026-04-15 03:34:24

135

Views

proving that $n^n \le (n!)^2$

Published on 15 Apr 2026 - 3:34

score 205 · Answer 2 · 2026-05-14 16:14:59

205

Views

Trigonometric functions separates the points

Published on 14 May 2026 - 16:14

score 53 · Answer 3 · 2026-05-14 20:56:12

53

Views

If $\forall \epsilon >0, f(x) = \mathscr O(x^{1+\epsilon})$ is $\int^\infty \frac {1}{f(x)} = \infty$?

Published on 14 May 2026 - 20:56

score 363 · Answer 4 · 2026-04-12 03:35:30

363

Views

Showing an inequality for $\sin1$ using Taylor's theorem

Published on 12 Apr 2026 - 3:35

score 191 · Answer 5 · 2026-05-15 05:31:08

191

Views

Show that if $f :[0,\infty[ \rightarrow\mathbb{R}$ is continous then $f$ attain a maximum.

Published on 15 May 2026 - 5:31

score 162 · Answer 6 · 2026-05-05 18:43:39

162

Views

Prove that $C_b^{2,1}(\mathbb{R}^n \times [0,T])$ is a Banach Space with a weighted maximum norm

Published on 05 May 2026 - 18:43

score 145 · Answer 7 · 2026-04-17 02:56:45

145

Views

Show that $\sqrt{ab} \leq \sqrt[n]{\frac{a^n+b^n+\lambda((a+b)^n-a^n-b^n)}{2+\lambda(2^n-2)}} \leq \frac{a+b}{2}$

Published on 17 Apr 2026 - 2:56

score 84 · Answer 8 · 2026-04-14 22:27:50

84

Views

Why is $\frac {1}{n^2-1} \le \frac {2}{n^2} $?

Published on 14 Apr 2026 - 22:27

score 139 · Answer 9 · 2026-04-11 12:40:44

139

Views

A better solution for an old problem

Published on 11 Apr 2026 - 12:40

score 111 · Answer 10 · 2026-04-14 07:43:35

111

Views

The measure of the limsup of a sequence of sets in a sigma algebra.

Published on 14 Apr 2026 - 7:43

score 41 · Answer 11 · 2026-05-05 19:34:12

41

Views

$f \in W^{1,\infty} \cap L^1 \implies \int_{R^n}f(x,\xi)g(\xi)d\xi \in W^{1,\infty}(\mathbb{R}^n)$

Published on 05 May 2026 - 19:34

score 140 · Answer 12 · 2026-04-20 15:06:07

140

Views

Does the series $\sum^{\infty}_{n=1}\frac{2n^{5}+13n^{3}}{n^{\frac{1}{n}}(n^6-n^2+7)}$ converge or diverge? Justify.

Published on 20 Apr 2026 - 15:06

score 174 · Answer 13 · 2026-05-13 21:26:15

174

Views

Let $G$ be a locally compact group with Haar measure $\mu$. Is right-translation continuous on $L^1(G,\mu)$?

Published on 13 May 2026 - 21:26

score 362 · Answer 14 · 2026-04-12 02:30:24

362

Views

Tractrix curve questions

Published on 12 Apr 2026 - 2:30

score 65 · Answer 15 · 2026-05-10 19:15:27

65

Views

Where does the choice of $n$ come from in this proof of $\inf \left\{\exp((-1)^nn)\right\} = 0$?

Published on 10 May 2026 - 19:15

List Question

proving that $n^n \le (n!)^2$

Trigonometric functions separates the points

If $\forall \epsilon >0, f(x) = \mathscr O(x^{1+\epsilon})$ is $\int^\infty \frac {1}{f(x)} = \infty$?

Showing an inequality for $\sin1$ using Taylor's theorem

Show that if $f :[0,\infty[ \rightarrow\mathbb{R}$ is continous then $f$ attain a maximum.

Prove that $C_b^{2,1}(\mathbb{R}^n \times [0,T])$ is a Banach Space with a weighted maximum norm

Show that $\sqrt{ab} \leq \sqrt[n]{\frac{a^n+b^n+\lambda((a+b)^n-a^n-b^n)}{2+\lambda(2^n-2)}} \leq \frac{a+b}{2}$

Why is $\frac {1}{n^2-1} \le \frac {2}{n^2} $?

A better solution for an old problem

The measure of the limsup of a sequence of sets in a sigma algebra.

$f \in W^{1,\infty} \cap L^1 \implies \int_{R^n}f(x,\xi)g(\xi)d\xi \in W^{1,\infty}(\mathbb{R}^n)$

Does the series $\sum^{\infty}_{n=1}\frac{2n^{5}+13n^{3}}{n^{\frac{1}{n}}(n^6-n^2+7)}$ converge or diverge? Justify.

Let $G$ be a locally compact group with Haar measure $\mu$. Is right-translation continuous on $L^1(G,\mu)$?

Tractrix curve questions

Where does the choice of $n$ come from in this proof of $\inf \left\{\exp((-1)^nn)\right\} = 0$?

Trending Questions

Popular # Hahtags

Popular Questions