Question

maximum value of $x_{1}+x_{2}+x_{3}+\cdots+x_{10}$

score 90 · Answer 1 · 2018-12-14 13:51:29

90

Views

maximum value of $x_{1}+x_{2}+x_{3}+\cdots+x_{10}$

Published on 14 Dec 2018 - 13:51

score 260 · Answer 2 · 2018-12-14 14:35:07

260

Views

Prove that if $a,b,c \in \mathbb{R^+}\text{ and } abc=8\text{ then } {ab+4\over a+2}+{bc+4\over b+2}+{ca+4\over c+2}\ge6$

Published on 14 Dec 2018 - 14:35

score 104 · Answer 3 · 2018-12-14 15:38:49

104

Views

Prove the inequality $(1 + x)^{1/\pi} < 1 + \frac{x}{\pi}$ for $x > 0$

Published on 14 Dec 2018 - 15:38

score 855 · Answer 4 · 2026-04-11 17:09:22

855

Views

$N-1$ equal value principle

Published on 11 Apr 2026 - 17:09

score 161 · Answer 5 · 2018-12-14 17:44:25

161

Views

$\lim_{n \to \infty}(1+\frac{1}{n^2})(1+\frac{2}{n^2})...(1+\frac{n}{n^2})=e^{\frac{1}{2}}$.

Published on 14 Dec 2018 - 17:44

score 536 · Answer 6 · 2026-03-27 05:41:47

536

Views

Let $g(k)$ be the greatest odd divisor of $k$ show that $ 0< \sum_{k=1}^n \frac {g(k)}{k} - \frac {2n}{3} \lt \frac 23$

Published on 27 Mar 2026 - 5:41

score 122 · Answer 7 · 2018-12-15 17:04:45

122

Views

Let $f$ be analytic on $\mathbb{D}$, $f(0)=-1$ and $|1+f(z)| < 1+|f(z)|$. Prove $|f'(0)| \leq 4$.

Published on 15 Dec 2018 - 17:04

score 150 · Answer 8 · 2026-03-26 08:14:57

150

Views

Prove $x_1x_2…x_n \ge (n-1)^n$

Published on 26 Mar 2026 - 8:14

score 34 · Answer 9 · 2026-03-25 07:45:48

34

Views

Let $s^2=\frac{1}{n}\sum_1^n( X_i-\bar{X})^2$ and $\widetilde{X}$ denote the sample median. Is $s^2\leq \widetilde{X}(1-\widetilde{X})$ true

Published on 25 Mar 2026 - 7:45

score 187 · Answer 10 · 2026-04-13 09:12:25

187

Views

How do you find $x$ such as $y \leq \sqrt{2x-x^2}$?

Published on 13 Apr 2026 - 9:12

score 49 · Answer 11 · 2026-03-25 04:41:41

49

Views

Prove that $\sqrt{(p-1)^2 p^2 + 4} = (p - 1)p + \epsilon$ for $p > 1$ and $0 < \epsilon < 1$.

Published on 25 Mar 2026 - 4:41

score 185 · Answer 12 · 2018-12-16 02:09:55

185

Views

Prove that $|p^2+2q^2-n|<\sqrt[4]{9n}$

Published on 16 Dec 2018 - 2:09

score 62 · Answer 13 · 2018-12-16 03:23:55

62

Views

Lower bound for the function $h(x)=(1+1/x)\log(1+x)-1$ for $x > 0$.

Published on 16 Dec 2018 - 3:23

score 137 · Answer 14 · 2026-03-26 08:14:39

137

Views

Simple two variable am-gm inequality

Published on 26 Mar 2026 - 8:14

score 32 · Answer 15 · 2026-04-09 00:24:22

32

Views

Solve inequality of fraction in terms of denominator variable

Published on 09 Apr 2026 - 0:24

List Question

maximum value of $x_{1}+x_{2}+x_{3}+\cdots+x_{10}$

Prove that if $a,b,c \in \mathbb{R^+}\text{ and } abc=8\text{ then } {ab+4\over a+2}+{bc+4\over b+2}+{ca+4\over c+2}\ge6$

Prove the inequality $(1 + x)^{1/\pi} < 1 + \frac{x}{\pi}$ for $x > 0$

$N-1$ equal value principle

$\lim_{n \to \infty}(1+\frac{1}{n^2})(1+\frac{2}{n^2})...(1+\frac{n}{n^2})=e^{\frac{1}{2}}$.

Let $g(k)$ be the greatest odd divisor of $k$ show that $ 0< \sum_{k=1}^n \frac {g(k)}{k} - \frac {2n}{3} \lt \frac 23$

Let $f$ be analytic on $\mathbb{D}$, $f(0)=-1$ and $|1+f(z)| < 1+|f(z)|$. Prove $|f'(0)| \leq 4$.

Prove $x_1x_2…x_n \ge (n-1)^n$

Let $s^2=\frac{1}{n}\sum_1^n( X_i-\bar{X})^2$ and $\widetilde{X}$ denote the sample median. Is $s^2\leq \widetilde{X}(1-\widetilde{X})$ true

How do you find $x$ such as $y \leq \sqrt{2x-x^2}$?

Prove that $\sqrt{(p-1)^2 p^2 + 4} = (p - 1)p + \epsilon$ for $p > 1$ and $0 < \epsilon < 1$.

Prove that $|p^2+2q^2-n|<\sqrt[4]{9n}$

Lower bound for the function $h(x)=(1+1/x)\log(1+x)-1$ for $x > 0$.

Simple two variable am-gm inequality

Solve inequality of fraction in terms of denominator variable

Trending Questions

Popular # Hahtags

Popular Questions