Question

how to get the limit of $\lim_{n \to \infty}\left( \sqrt{n+\sqrt{n}}-\sqrt{n} \right)$

score 334 · Answer 1 · 2026-04-15 00:18:30

334

Views

how to get the limit of $\lim_{n \to \infty}\left( \sqrt{n+\sqrt{n}}-\sqrt{n} \right)$

Published on 15 Apr 2026 - 0:18

score 228 · Answer 2 · 2026-04-11 20:01:07

228

Views

Uniform convergence on compact subsets of Fourier series

Published on 11 Apr 2026 - 20:01

score 77 · Answer 3 · 2026-04-02 07:09:09

77

Views

Thomae function -- points lying on the same line

Published on 02 Apr 2026 - 7:09

score 55 · Answer 4 · 2026-04-09 02:38:10

55

Views

Ordered field with a maximum value

Published on 09 Apr 2026 - 2:38

score 178 · Answer 5 · 2026-04-17 06:32:27

178

Views

Solving $ \frac{x^2}{x-1} + \sqrt{x-1} +\frac{\sqrt{x-1}}{x^2} = \frac{x-1}{x^2} + \frac{1}{\sqrt{x-1}} + \frac{x^2}{\sqrt{x-1}}$

Published on 17 Apr 2026 - 6:32

score 63 · Answer 6 · 2026-04-16 10:46:43

63

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Assume $f=g~~a.e$ with respect to a Lebesgue measure what is $L_g?$

Published on 16 Apr 2026 - 10:46

score 205 · Answer 7 · 2026-04-13 22:43:48

205

Views

Convergence of the Fourier Series

Published on 13 Apr 2026 - 22:43

score 294 · Answer 8 · 2026-04-16 03:38:40

294

Views

Find the limit of $a_{n+1}=\cos(a_n)$

Published on 16 Apr 2026 - 3:38

score 92 · Answer 9 · 2026-04-14 13:00:00

92

Views

If the space $B(X,Y)$ of bounded function from $X$ into $Y$ is a complete metric space, show that $Y$ is a complete metric space.

Published on 14 Apr 2026 - 13:00

score 154 · Answer 10 · 2026-04-14 02:16:17

154

Views

If $\mu$ is a signed measure, can we show that $\left\{A\in\mathcal A:\mu(A)\ge0\right\}$ is a monotone class?

Published on 14 Apr 2026 - 2:16

score 982 · Answer 11 · 2026-04-12 17:04:13

982

Views

Finite set implies sequentially compact

Published on 12 Apr 2026 - 17:04

score 95 · Answer 12 · 2026-03-25 07:17:10

95

Views

Find extremal values of $f(x,y)=x^2+4y^2$ on the set $D$.

Published on 25 Mar 2026 - 7:17

score 888 · Answer 13 · 2026-04-14 13:06:31

888

Views

Maximum and supremum: proving sup of a concave function is < than infinity

Published on 14 Apr 2026 - 13:06

score 129 · Answer 14 · 2026-04-16 12:23:30

129

Views

For what of $n$ do we have $ a^n\le b^n+c^n$

Published on 16 Apr 2026 - 12:23

score 94 · Answer 15 · 2026-04-14 08:47:37

94

Views

An "inner isodiametric inequality"

Published on 14 Apr 2026 - 8:47

List Question

how to get the limit of $\lim_{n \to \infty}\left( \sqrt{n+\sqrt{n}}-\sqrt{n} \right)$

Uniform convergence on compact subsets of Fourier series

Thomae function -- points lying on the same line

Ordered field with a maximum value

Solving $ \frac{x^2}{x-1} + \sqrt{x-1} +\frac{\sqrt{x-1}}{x^2} = \frac{x-1}{x^2} + \frac{1}{\sqrt{x-1}} + \frac{x^2}{\sqrt{x-1}}$

Assume $f=g~~a.e$ with respect to a Lebesgue measure what is $L_g?$

Convergence of the Fourier Series

Find the limit of $a_{n+1}=\cos(a_n)$

If the space $B(X,Y)$ of bounded function from $X$ into $Y$ is a complete metric space, show that $Y$ is a complete metric space.

If $\mu$ is a signed measure, can we show that $\left\{A\in\mathcal A:\mu(A)\ge0\right\}$ is a monotone class?

Finite set implies sequentially compact

Find extremal values of $f(x,y)=x^2+4y^2$ on the set $D$.

Maximum and supremum: proving sup of a concave function is < than infinity

For what of $n$ do we have $ a^n\le b^n+c^n$

An "inner isodiametric inequality"

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