Question

Show that there is no limit exists for $\lim_{x \rightarrow \infty}\sin(x-\lfloor x \rfloor)$

score 137 · Answer 1 · 2026-04-16 04:15:52

137

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Show that there is no limit exists for $\lim_{x \rightarrow \infty}\sin(x-\lfloor x \rfloor)$

Published on 16 Apr 2026 - 4:15

score 191 · Answer 2 · 2026-04-18 15:28:16

191

Views

Evaluate $\lim_\limits{x \to 0}\left[\left(\frac{1}{\sin^{-1}(x)}\right)^2-\frac{1}{x^2}\right],$

Published on 18 Apr 2026 - 15:28

score 317 · Answer 3 · 2026-04-10 17:14:53

317

Views

The priority of limits

Published on 10 Apr 2026 - 17:14

score 108 · Answer 4 · 2026-05-10 15:11:02

108

Views

How to substitute trigonometry intuitively?

Published on 10 May 2026 - 15:11

score 1.7k · Answer 5 · 2026-04-09 10:06:27

1.7k

Views

Hierarchy of functions by asymptotic growth

Published on 09 Apr 2026 - 10:06

score 57 · Answer 6 · 2026-05-10 16:06:23

57

Views

Comparing the grow rate of two functions with discrete domain

Published on 10 May 2026 - 16:06

score 82 · Answer 7 · 2026-04-14 12:34:22

82

Views

many value of delta corresponding to single epsilon?

Published on 14 Apr 2026 - 12:34

score 28 · Answer 8 · 2026-05-11 08:00:51

28

Views

How can a a ratio of $\kappa/\lambda$ remain constant as $\kappa$ goes to infinity?

Published on 11 May 2026 - 8:00

score 127 · Answer 9 · 2026-05-05 23:24:24

127

Views

Limit as $(x,y,z)\to (0,0,0)$ of $f(x,y,z) = \dfrac{xy+yz+xz}{\sqrt{x^2+y^2+z^2}}$

Published on 05 May 2026 - 23:24

score 2.2k · Answer 10 · 2026-05-05 23:23:12

2.2k

Views

Showing $\lim_{(x,y) \to (0,0)} xy \log(x^2+y^2) = 0$

Published on 05 May 2026 - 23:23

score 163 · Answer 11 · 2026-04-12 21:07:45

163

Views

I need a justification for epsilon delta definition of limit

Published on 12 Apr 2026 - 21:07

score 48 · Answer 12 · 2026-05-14 22:50:11

48

Views

integral relation related to uniqueness for ODE's

Published on 14 May 2026 - 22:50

score 197 · Answer 13 · 2026-04-16 11:23:27

197

Views

Rigorous proof of $\lim\limits_{n \to \infty } \int_0^n f(n,t) dt = \int_0^\infty \lim\limits_{n \to \infty } f(n,t) dt$

Published on 16 Apr 2026 - 11:23

score 554 · Answer 14 · 2026-05-05 23:23:23

554

Views

Finding limit of $\frac{x^2y^2}{x^3+y^3}$ as $(x,y)\to (0,0)$

Published on 05 May 2026 - 23:23

score 275 · Answer 15 · 2026-04-14 21:44:36

275

Views

Stuck with proving $\lim_{x\to 2} (x^2-3x)=-2$, using the $\epsilon, \delta$ deifnition

Published on 14 Apr 2026 - 21:44

List Question

Show that there is no limit exists for $\lim_{x \rightarrow \infty}\sin(x-\lfloor x \rfloor)$

Evaluate $\lim_\limits{x \to 0}\left[\left(\frac{1}{\sin^{-1}(x)}\right)^2-\frac{1}{x^2}\right],$

The priority of limits

How to substitute trigonometry intuitively?

Hierarchy of functions by asymptotic growth

Comparing the grow rate of two functions with discrete domain

many value of delta corresponding to single epsilon?

How can a a ratio of $\kappa/\lambda$ remain constant as $\kappa$ goes to infinity?

Limit as $(x,y,z)\to (0,0,0)$ of $f(x,y,z) = \dfrac{xy+yz+xz}{\sqrt{x^2+y^2+z^2}}$

Showing $\lim_{(x,y) \to (0,0)} xy \log(x^2+y^2) = 0$

I need a justification for epsilon delta definition of limit

integral relation related to uniqueness for ODE's

Rigorous proof of $\lim\limits_{n \to \infty } \int_0^n f(n,t) dt = \int_0^\infty \lim\limits_{n \to \infty } f(n,t) dt$

Finding limit of $\frac{x^2y^2}{x^3+y^3}$ as $(x,y)\to (0,0)$

Stuck with proving $\lim_{x\to 2} (x^2-3x)=-2$, using the $\epsilon, \delta$ deifnition

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