Find $\lim_{x\to 0^{\pm}}f(x)=\frac{\arcsin(1-\left\{x\right\})\times\arccos(1-\left\{x\right\})}{\sqrt{2\left\{x\right\}}\times(1-\left\{x\right\})}$

score 242 · Answer 9 · 2026-03-18 23:55:45

242

Views

fractional chromatic number

Published on 18 Mar 2026 - 23:55

score 192 · Answer 10 · 2026-03-21 12:48:40

192

Views

Summation of fractional parts $\frac{m}{n}$, where $2 \leq n < m$ (amateur)

Published on 21 Mar 2026 - 12:48

score 1.1k · Answer 11 · 2016-01-04 22:05:30

1.1k

Views

Prove that limit of the fractional part of $\sqrt{n^2+n}$ is $\frac{1}{2}$

Published on 04 Jan 2016 - 22:05

score 57 · Answer 12 · 2026-03-18 23:47:05

57

Views

Simplifiying (or getting the exponent thing outside) the expression $\{({\rm complicated\, stuff})^{1/n}\}$

Published on 18 Mar 2026 - 23:47

score 80 · Answer 13 · 2026-03-19 23:53:34

80

Views

If $l>10$ and $\{a\}>\frac{1}{l}$ then there exists $k \in \{1,\dots, l\}$ such that $\{ka\} \in [1/10,2/10]$

Published on 19 Mar 2026 - 23:53

score 2.5k · Answer 14 · 2026-03-18 23:56:23

2.5k

Views

If $x$, $\{x\}$, $\lfloor x\rfloor$ are in G.P, find $x$.

Published on 18 Mar 2026 - 23:56

score 886 · Answer 15 · 2016-03-17 08:30:09

886

Views

Evaluate $\int_0^1\int_0^1 \left\{ \frac{e^x}{e^y} \right\}dxdy$

Published on 17 Mar 2016 - 8:30

List Question

$\mathcal{I}=\int\limits_0^0 \{x\}^{\lfloor x\rfloor}\,\mathrm dx=0\textrm{ or undefined ?}$

Solving the equation $\{x\}+\{\frac{1}{x} \}=1$

Giving a sense to the formal equation $\sin x=-\pi\sum_{n=1}^{+\infty}\frac{\mu(n)}n\left\{\frac{nx}{2\pi}\right\}$

What is $\operatorname{frac(x)}$ or $\{x\}$?

What is the closest fraction (that isn't something like 31415.../1000...) that gets you pretty close to pi?

For $n\in\mathbb{N}$, evaluate $\int_0^n \cos(2\pi \lfloor x\rfloor\{x\})dx$

What is a field with bounded whole and unbounded fractional part called?

Find $\lim_{x\to 0^{\pm}}f(x)=\frac{\arcsin(1-\left\{x\right\})\times\arccos(1-\left\{x\right\})}{\sqrt{2\left\{x\right\}}\times(1-\left\{x\right\})}$

fractional chromatic number

Summation of fractional parts $\frac{m}{n}$, where $2 \leq n < m$ (amateur)

Prove that limit of the fractional part of $\sqrt{n^2+n}$ is $\frac{1}{2}$

Simplifiying (or getting the exponent thing outside) the expression $\{({\rm complicated\, stuff})^{1/n}\}$

If $l>10$ and $\{a\}>\frac{1}{l}$ then there exists $k \in \{1,\dots, l\}$ such that $\{ka\} \in [1/10,2/10]$

If $x$, $\{x\}$, $\lfloor x\rfloor$ are in G.P, find $x$.

Evaluate $\int_0^1\int_0^1 \left\{ \frac{e^x}{e^y} \right\}dxdy$

Trending Questions

Popular # Hahtags

Popular Questions