List questions from ceiling-and-floor-functions | MathQa

Limit of $f(x)=x-\lfloor x \rfloor$ $\epsilon-\delta$

Published on 12 Jan 2025 - 19:13

Differentiation of a floor function using Mean Value Theorem

Published on 12 Jan 2025 - 9:15

Proofs regarding Ceilings and Floors

Published on 12 Jan 2025 - 9:15

Solve the equation within 'floor function'

Published on 12 Jan 2025 - 9:05

What is the smallest possible value of $\lfloor (a+b+c)/d\rfloor+\lfloor (a+b+d)/c\rfloor+\lfloor (a+d+c)/b\rfloor+\lfloor (d+b+c)/a\rfloor$?

Published on 12 Jan 2025 - 9:15

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

Published on 12 Jan 2025 - 9:15

Proof of $\lceil x \rceil + \lceil y \rceil \geq \lceil x + y \rceil$

Published on 12 Jan 2025 - 9:15

How to find $\lim_{x \to \infty} [x]/x$?

Published on 12 Jan 2025 - 18:36

Proving that $x$ is irrational if $x-\lfloor x \rfloor + \frac1x - \left\lfloor \frac1x \right\rfloor = 1$

Published on 12 Jan 2025 - 9:15

Is $\lfloor n!/e\rfloor$ always even for $n\in\mathbb N$?

Published on 12 Jan 2025 - 9:15