Question

How can I find an $\varepsilon$ environment to disprove $\lim_{n\to \infty}(\{{\sqrt{n}}\}) = 0$?

score 146 · Answer 1 · 2026-04-11 17:09:13

146

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How can I find an $\varepsilon$ environment to disprove $\lim_{n\to \infty}(\{{\sqrt{n}}\}) = 0$?

Published on 11 Apr 2026 - 17:09

score 205 · Answer 2 · 2026-04-11 20:54:10

205

Views

Solving exponential equation with two variables

Published on 11 Apr 2026 - 20:54

score 117 · Answer 3 · 2026-04-24 00:55:10

117

Views

The limit as x approaches to infinity where c is a constant

Published on 24 Apr 2026 - 0:55

score 112 · Answer 4 · 2026-05-10 16:55:26

112

Views

Functions strictly monotone increasing and monotone increasing

Published on 10 May 2026 - 16:55

score 1k · Answer 5 · 2026-04-18 03:16:32

1k

Views

What integrals in 2D plane and 3D space represent?

Published on 18 Apr 2026 - 3:16

score 221 · Answer 6 · 2026-04-13 17:19:49

221

Views

Prove relation between coefficients of power series

Published on 13 Apr 2026 - 17:19

score 262 · Answer 7 · 2026-05-10 15:08:15

262

Views

How do I find the optimal value for $k$?

Published on 10 May 2026 - 15:08

score 218 · Answer 8 · 2026-05-10 13:45:04

218

Views

Adding extra "y" value in implicit differentiation

Published on 10 May 2026 - 13:45

score 325 · Answer 9 · 2026-04-21 13:07:08

325

Views

Limit: $\lim_{x\to 0}\frac{x^3 - 3x^2+1}{x^3}$

Published on 21 Apr 2026 - 13:07

score 133 · Answer 10 · 2026-04-24 00:55:10

133

Views

prove that $\lim_{x\to 0^{-}}\frac{x}{|x|}$

Published on 24 Apr 2026 - 0:55

score 4.4k · Answer 11 · 2026-04-15 19:42:36

4.4k

Views

Expressions for $\sin(\arctan(x))$ and $\cos(\arctan(x))$ that do not contain trigonometric functions

Published on 15 Apr 2026 - 19:42

score 1k · Answer 12 · 2026-05-11 05:10:32

1k

Views

Integrating partial derivatives

Published on 11 May 2026 - 5:10

score 88 · Answer 13 · 2026-04-14 18:23:54

88

Views

Proving that show that $(f_n)_n$ admits a subsequence that simply converges on $\Bbb R$.

Published on 14 Apr 2026 - 18:23

score 115 · Answer 14 · 2026-05-10 18:59:45

115

Views

Derivative of the function $\sin^{-1}\Big(\frac{2^{x+1}}{1+4^x}\Big)$

Published on 10 May 2026 - 18:59

score 1.6k · Answer 15 · 2026-04-17 03:47:11

1.6k

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Evaluate $\int_{0}^{\frac{\pi}{2}}\frac{x^2}{ \sin x}dx$

Published on 17 Apr 2026 - 3:47

List Question

How can I find an $\varepsilon$ environment to disprove $\lim_{n\to \infty}(\{{\sqrt{n}}\}) = 0$?

Solving exponential equation with two variables

The limit as x approaches to infinity where c is a constant

Functions strictly monotone increasing and monotone increasing

What integrals in 2D plane and 3D space represent?

Prove relation between coefficients of power series

How do I find the optimal value for $k$?

Adding extra "y" value in implicit differentiation

Limit: $\lim_{x\to 0}\frac{x^3 - 3x^2+1}{x^3}$

prove that $\lim_{x\to 0^{-}}\frac{x}{|x|}$

Expressions for $\sin(\arctan(x))$ and $\cos(\arctan(x))$ that do not contain trigonometric functions

Integrating partial derivatives

Proving that show that $(f_n)_n$ admits a subsequence that simply converges on $\Bbb R$.

Derivative of the function $\sin^{-1}\Big(\frac{2^{x+1}}{1+4^x}\Big)$

Evaluate $\int_{0}^{\frac{\pi}{2}}\frac{x^2}{ \sin x}dx$

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