Question

Limit involving Series and Greatest Integer Function

score 872 · Answer 1 · 2026-05-10 11:18:28

872

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Limit involving Series and Greatest Integer Function

Published on 10 May 2026 - 11:18

score 128 · Answer 2 · 2026-05-10 14:44:13

128

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Solving equation with floor

Published on 10 May 2026 - 14:44

score 360 · Answer 3 · 2026-05-10 20:02:28

360

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How to solve equation with the floor function? 100 sided die Problem

Published on 10 May 2026 - 20:02

score 142 · Answer 4 · 2026-04-12 09:56:00

142

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A strange mathematical result from greatest integer function.

Published on 12 Apr 2026 - 9:56

score 143 · Answer 5 · 2026-04-16 16:29:09

Simplifying floor > $ \left \lfloor{\frac{\left \lfloor{\frac{n}{2}}\right \rfloor}{2}}\right \rfloor= \left \lfloor{\frac{n}{2^2}}\right \rfloor$

score 208 · Answer 6 · 2026-04-10 16:15:57

208

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Recurrence problem: find $a_{1000}$ from $a_{0}$

Published on 10 Apr 2026 - 16:15

score 45 · Answer 7 · 2026-04-12 20:58:31

45

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Every function can be represented by a rising sequence of simple functions

Published on 12 Apr 2026 - 20:58

score 155 · Answer 8 · 2026-04-16 16:16:16

155

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Evaluate $\int_{-n}^{n} (-1)^{\lfloor x \rfloor}dx$

Published on 16 Apr 2026 - 16:16

score 155 · Answer 9 · 2026-04-16 11:58:21

155

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Infinitely many $n$ such that $2^n$ in base $10$ starts with $7777777$

Published on 16 Apr 2026 - 11:58

score 183 · Answer 10 · 2026-04-16 15:40:33

183

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Evaluate $\lim_{n \to \infty} \sqrt{n^2+2n}-\left[\sqrt{n^2+2n}\right]$

Published on 16 Apr 2026 - 15:40

score 156 · Answer 11 · 2026-04-17 04:22:25

156

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Ceiling function and limit problem $\lim_{n \to \infty} \frac {\lceil 4^{n+\frac{\log \frac 83}{\log4}} \rceil}{\lceil 4^{n+0.707519} \rceil}$

Published on 17 Apr 2026 - 4:22

score 427 · Answer 12 · 2026-04-12 07:28:28

427

Views

Continuous antiderivative of $\frac{1}{1+\cos^2 x}$ without the floor function.

Published on 12 Apr 2026 - 7:28

score 53 · Answer 13 · 2026-04-16 07:40:11

53

Views

Upper bound on $f(x)= \frac{\lfloor x\rfloor!}{\lfloor x+h\rfloor!} 2^{\lfloor x+h\rfloor!-\lfloor x\rfloor!}$

Published on 16 Apr 2026 - 7:40

score 100 · Answer 14 · 2026-04-15 10:48:05

100

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$n_{i+1} = \lceil n_i/2 \rceil + 1$, get a TIGHT upper bound of sum $\sum_{i=0}^d \lfloor n_i/2 \rfloor$

Published on 15 Apr 2026 - 10:48

score 120 · Answer 15 · 2026-04-11 06:41:29

120

Views

Can Greatest integer function and limit be Interchanged

Published on 11 Apr 2026 - 6:41

List Question

Limit involving Series and Greatest Integer Function

Solving equation with floor

How to solve equation with the floor function? 100 sided die Problem

A strange mathematical result from greatest integer function.

Simplifying floor > $ \left \lfloor{\frac{\left \lfloor{\frac{n}{2}}\right \rfloor}{2}}\right \rfloor= \left \lfloor{\frac{n}{2^2}}\right \rfloor$

Recurrence problem: find $a_{1000}$ from $a_{0}$

Every function can be represented by a rising sequence of simple functions

Evaluate $\int_{-n}^{n} (-1)^{\lfloor x \rfloor}dx$

Infinitely many $n$ such that $2^n$ in base $10$ starts with $7777777$

Evaluate $\lim_{n \to \infty} \sqrt{n^2+2n}-\left[\sqrt{n^2+2n}\right]$

Ceiling function and limit problem $\lim_{n \to \infty} \frac {\lceil 4^{n+\frac{\log \frac 83}{\log4}} \rceil}{\lceil 4^{n+0.707519} \rceil}$

Continuous antiderivative of $\frac{1}{1+\cos^2 x}$ without the floor function.

Upper bound on $f(x)= \frac{\lfloor x\rfloor!}{\lfloor x+h\rfloor!} 2^{\lfloor x+h\rfloor!-\lfloor x\rfloor!}$

$n_{i+1} = \lceil n_i/2 \rceil + 1$, get a TIGHT upper bound of sum $\sum_{i=0}^d \lfloor n_i/2 \rfloor$

Can Greatest integer function and limit be Interchanged

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