Question

Limit involving Series and Greatest Integer Function

score 869 · Answer 1 · 2026-03-25 04:35:35

869

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Limit involving Series and Greatest Integer Function

Published on 25 Mar 2026 - 4:35

score 124 · Answer 2 · 2018-05-30 06:32:40

124

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Solving equation with floor

Published on 30 May 2018 - 6:32

score 356 · Answer 3 · 2018-05-30 10:37:38

356

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

Published on 30 May 2018 - 10:37

score 139 · Answer 4 · 2018-05-30 15:16:46

139

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A strange mathematical result from greatest integer function.

Published on 30 May 2018 - 15:16

score 140 · Answer 5 · 2018-05-31 06:59:13

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

score 205 · Answer 6 · 2018-05-31 13:13:28

205

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

Published on 31 May 2018 - 13:13

score 42 · Answer 7 · 2018-05-31 16:44:50

42

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

Published on 31 May 2018 - 16:44

score 152 · Answer 8 · 2018-06-01 11:49:17

152

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

Published on 01 Jun 2018 - 11:49

score 152 · Answer 9 · 2018-06-01 13:27:38

152

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

Published on 01 Jun 2018 - 13:27

score 180 · Answer 10 · 2018-06-02 09:31:00

180

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

Published on 02 Jun 2018 - 9:31

score 153 · Answer 11 · 2018-06-03 11:08:28

153

Views

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 03 Jun 2018 - 11:08

score 424 · Answer 12 · 2018-06-03 18:47:25

424

Views

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

Published on 03 Jun 2018 - 18:47

score 50 · Answer 13 · 2018-06-05 21:25:37

50

Views

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

Published on 05 Jun 2018 - 21:25

score 97 · Answer 14 · 2018-06-07 18:36:40

97

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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 07 Jun 2018 - 18:36

score 117 · Answer 15 · 2018-06-10 15:28:50

117

Views

Can Greatest integer function and limit be Interchanged

Published on 10 Jun 2018 - 15:28

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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