Question

Implicit Fact about Bounded Monotone Sequence converges

score 92 · Answer 1 · 2015-08-07 18:07:52

92

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Implicit Fact about Bounded Monotone Sequence converges

Published on 07 Aug 2015 - 18:07

score 52 · Answer 2 · 2026-04-02 14:03:48

52

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$\limsup_n a_n + \limsup_n b_n \le \limsup_n c_n + \limsup_n d_n$ if $a_n+b_n=c_n+d_n$ and $a_n$ maximum

Published on 02 Apr 2026 - 14:03

score 188 · Answer 3 · 2015-08-08 16:25:13

188

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Find min,max, inf, sup (if they exist) of the sequence $x_n=(-1)^n \cdot \frac{\sqrt{n}}{n+1}+\sin \frac{n \pi}{2}$.

Published on 08 Aug 2015 - 16:25

score 83 · Answer 4 · 2015-08-10 18:35:54

83

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Show that exists maximum of $A_x=\{m\in \mathbb{Z}: m\le x\} $

Published on 10 Aug 2015 - 18:35

score 269 · Answer 5 · 2015-08-11 21:06:14

269

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find the supremum and infimum of $E =\{x \in \mathbb{R} : -1/n \le x \le 1-1/n\}$

Published on 11 Aug 2015 - 21:06

score 160 · Answer 6 · 2015-08-13 14:29:59

160

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Supremum and infimum of $\left\{(n^2+2n+1)^{\frac{1}{n^2}} \mid n \in\mathbb N \right\}$

Published on 13 Aug 2015 - 14:29

score 28 · Answer 7 · 2015-08-13 18:55:41

28

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Maximum occurring at all points in a set

Published on 13 Aug 2015 - 18:55

score 147 · Answer 8 · 2015-08-15 03:20:13

147

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Proof of unboundedness of a set

Published on 15 Aug 2015 - 3:20

score 3.4k · Answer 9 · 2015-08-15 07:05:38

3.4k

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The least value of the function $f(x)=|x-a|+|x-b|+|x-c|+|x-d|$

Published on 15 Aug 2015 - 7:05

score 133 · Answer 10 · 2015-08-17 04:53:44

133

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Let $(s_n)$ be a convergent sequence of real numbers such that $s_n \neq 0$ for all $n \in \mathbb{N}$ and $\lim_{n \to \infty}s_n=s\neq 0$.

Published on 17 Aug 2015 - 4:53

score 53 · Answer 11 · 2015-08-19 16:30:01

53

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$\left(a-\frac{1}{r^2}\right)\left(b-\frac{1}{r^2}\right)=h^2$

Published on 19 Aug 2015 - 16:30

score 1.3k · Answer 12 · 2015-08-25 18:11:24

1.3k

Views

Supremum Proof Question

Published on 25 Aug 2015 - 18:11

score 255 · Answer 13 · 2015-08-26 03:29:24

255

Views

Find the maximum volume of the cylinder.

Published on 26 Aug 2015 - 3:29

score 28 · Answer 14 · 2015-08-26 07:06:38

28

Views

Prove that the greatest area which the $\Delta APY$ can have is $3\sqrt3\frac{a^2}{8}$sq units

Published on 26 Aug 2015 - 7:06

score 2.1k · Answer 15 · 2015-08-26 08:58:04

2.1k

Views

Find the cosine of the angle at the vertex of an isosceles triangle having the greatest area

Published on 26 Aug 2015 - 8:58

List Question

Implicit Fact about Bounded Monotone Sequence converges

$\limsup_n a_n + \limsup_n b_n \le \limsup_n c_n + \limsup_n d_n$ if $a_n+b_n=c_n+d_n$ and $a_n$ maximum

Find min,max, inf, sup (if they exist) of the sequence $x_n=(-1)^n \cdot \frac{\sqrt{n}}{n+1}+\sin \frac{n \pi}{2}$.

Show that exists maximum of $A_x=\{m\in \mathbb{Z}: m\le x\} $

find the supremum and infimum of $E =\{x \in \mathbb{R} : -1/n \le x \le 1-1/n\}$

Supremum and infimum of $\left\{(n^2+2n+1)^{\frac{1}{n^2}} \mid n \in\mathbb N \right\}$

Maximum occurring at all points in a set

Proof of unboundedness of a set

The least value of the function $f(x)=|x-a|+|x-b|+|x-c|+|x-d|$

Let $(s_n)$ be a convergent sequence of real numbers such that $s_n \neq 0$ for all $n \in \mathbb{N}$ and $\lim_{n \to \infty}s_n=s\neq 0$.

$\left(a-\frac{1}{r^2}\right)\left(b-\frac{1}{r^2}\right)=h^2$

Supremum Proof Question

Find the maximum volume of the cylinder.

Prove that the greatest area which the $\Delta APY$ can have is $3\sqrt3\frac{a^2}{8}$sq units

Find the cosine of the angle at the vertex of an isosceles triangle having the greatest area

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