Question

A nonnegative, integrable, Lipschitz function $f$ satisfies $\lim \inf_{n \rightarrow \infty} \sqrt{n}f(n) = 0$

score 86 · Answer 1 · 2026-04-02 07:33:52

86

Views

A nonnegative, integrable, Lipschitz function $f$ satisfies $\lim \inf_{n \rightarrow \infty} \sqrt{n}f(n) = 0$

Published on 02 Apr 2026 - 7:33

score 99 · Answer 2 · 2022-01-05 18:18:54

99

Views

Does the limit : $\lim _{x\to \infty }\frac{\ln x^{\frac{1}{3}}}{\sin x}$ exist

Published on 05 Jan 2022 - 18:18

score 80 · Answer 3 · 2022-01-05 23:58:14

80

Views

(When) do students typically learn about limit superior and inferior?

Published on 05 Jan 2022 - 23:58

score 251 · Answer 4 · 2022-01-13 11:54:41

251

Views

Could lim sup not be in tail event?

Published on 13 Jan 2022 - 11:54

score 324 · Answer 5 · 2022-01-13 22:14:41

324

Views

Understanding what $\displaystyle \lim\sup_{x \to a, x \in E} f(x)$ means

Published on 13 Jan 2022 - 22:14

score 131 · Answer 6 · 2022-01-14 04:12:14

131

Views

Is $\liminf f(x)$ always unique?

Published on 14 Jan 2022 - 4:12

score 114 · Answer 7 · 2022-01-15 13:40:43

114

Views

Set of points where lower left Dini derivative dominates the upper right Dini derivative is countable

Published on 15 Jan 2022 - 13:40

score 213 · Answer 8 · 2022-01-18 14:53:44

213

Views

Limsup & liminf of $\exp(-\cos(n))$

Published on 18 Jan 2022 - 14:53

score 406 · Answer 9 · 2022-01-18 23:49:55

406

Views

Proving that $\limsup_{h \to 0^{+}} \frac{F(x + h) - F(x)}{h}$ is measurable if $F$ is continuous

Published on 18 Jan 2022 - 23:49

score 38 · Answer 10 · 2022-01-19 19:08:47

38

Views

From sequence $m_n = o(f(n))$ to function $m(x) = o(f(x))$?

Published on 19 Jan 2022 - 19:08

score 88 · Answer 11 · 2022-01-21 19:13:28

88

Views

"Change of variables" in $\limsup_{x\rightarrow\infty}f(x+t)$

Published on 21 Jan 2022 - 19:13

score 75 · Answer 12 · 2022-01-22 12:51:05

75

Views

Is zero the liminf of the norm of a weakly convergence sequence to zero in HIlbert spaces?

Published on 22 Jan 2022 - 12:51

score 59 · Answer 13 · 2022-01-26 16:03:02

59

Views

let $(a_n)$ be the sequence $(1, 0, 2, 0, 3, 0, . . .)$. Find $\lim \inf$, $\lim \sup$ of $(a_n)$ and $(b_n)$ where $b_n= (a_1+a_2+...+a_n)/n$

Published on 26 Jan 2022 - 16:03

score 169 · Answer 14 · 2026-04-01 18:53:34

169

Views

$\lim\sup$ and $\lim\inf$ of a sequence of independent random variables with two states

Published on 01 Apr 2026 - 18:53

score 100 · Answer 15 · 2022-02-02 19:38:04

100

Views

Finding a "recovery" sequence for $f$

Published on 02 Feb 2022 - 19:38

List Question

A nonnegative, integrable, Lipschitz function $f$ satisfies $\lim \inf_{n \rightarrow \infty} \sqrt{n}f(n) = 0$

Does the limit : $\lim _{x\to \infty }\frac{\ln x^{\frac{1}{3}}}{\sin x}$ exist

(When) do students typically learn about limit superior and inferior?

Could lim sup not be in tail event?

Understanding what $\displaystyle \lim\sup_{x \to a, x \in E} f(x)$ means

Is $\liminf f(x)$ always unique?

Set of points where lower left Dini derivative dominates the upper right Dini derivative is countable

Limsup & liminf of $\exp(-\cos(n))$

Proving that $\limsup_{h \to 0^{+}} \frac{F(x + h) - F(x)}{h}$ is measurable if $F$ is continuous

From sequence $m_n = o(f(n))$ to function $m(x) = o(f(x))$?

"Change of variables" in $\limsup_{x\rightarrow\infty}f(x+t)$

Is zero the liminf of the norm of a weakly convergence sequence to zero in HIlbert spaces?

let $(a_n)$ be the sequence $(1, 0, 2, 0, 3, 0, . . .)$. Find $\lim \inf$, $\lim \sup$ of $(a_n)$ and $(b_n)$ where $b_n= (a_1+a_2+...+a_n)/n$

$\lim\sup$ and $\lim\inf$ of a sequence of independent random variables with two states

Finding a "recovery" sequence for $f$

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