Question

Find the integer part of the sum $S=\sum_{k=1}^{80} \frac{1}{\sqrt k} $

score 2k · Answer 1 · 2016-07-10 08:49:03

2k

Views

Find the integer part of the sum $S=\sum_{k=1}^{80} \frac{1}{\sqrt k} $

Published on 10 Jul 2016 - 8:49

score 257 · Answer 2 · 2016-07-12 16:29:15

257

Views

The greatest value of $\cos(xe^{\lfloor x \rfloor} +7x^2 -3x)$

Published on 12 Jul 2016 - 16:29

score 374 · Answer 3 · 2016-07-13 08:15:50

374

Views

Solve in integers $x,y$ the equation $\left\lfloor\frac{xy-xy^2}{x+y^2} \right\rfloor=a$

Published on 13 Jul 2016 - 8:15

score 530 · Answer 4 · 2016-07-14 12:50:08

530

Views

Proving that $\lceil f(x) \rceil$ $=$ $\lceil f(\lceil x \rceil )\rceil$ when $f(x) =$ integer $\implies x =$ integer

Published on 14 Jul 2016 - 12:50

score 173 · Answer 5 · 2026-03-25 17:26:58

173

Views

$\lfloor x\rfloor \cdot \lfloor x^2\rfloor = \lfloor x^3\rfloor$ means that $x$ is close to an integer

Published on 25 Mar 2026 - 17:26

score 185 · Answer 6 · 2016-07-16 07:45:02

185

Views

Limit of an integral involving the floor function

Published on 16 Jul 2016 - 7:45

score 159 · Answer 7 · 2016-07-18 00:19:29

159

Views

How to prove that $\lfloor \frac{n}{2}\rfloor$ = $\lceil \frac{n-1}{2}\rceil$

Published on 18 Jul 2016 - 0:19

score 75 · Answer 8 · 2016-07-18 08:46:09

75

Views

High Cap value of ⌈3.02⌉

Published on 18 Jul 2016 - 8:46

score 146 · Answer 9 · 2016-07-19 05:01:28

146

Views

About a proof that $\lfloor x^2\rfloor = \lfloor x\rfloor^2$ for unbounded non integer values of $x$

Published on 19 Jul 2016 - 5:01

score 83 · Answer 10 · 2016-07-23 22:16:04

83

Views

Value of a product of cosines and the floor of its reciprocal

Published on 23 Jul 2016 - 22:16

score 761 · Answer 11 · 2016-07-25 13:59:42

761

Views

How to simplify a sum involving the floor function

Published on 25 Jul 2016 - 13:59

score 150 · Answer 12 · 2016-07-26 09:33:06

150

Views

Every positive integer is a limit point of the sequence $a_n=n-\sqrt{n}\left\lfloor{\sqrt{n}}\right\rfloor$

Published on 26 Jul 2016 - 9:33

score 338 · Answer 13 · 2016-07-30 14:35:22

338

Views

Let f(x)= $\lfloor x \rfloor+ \lfloor -x \rfloor$ Prove: The limit $\lim_{x \to x_0}f(x)$ exists for every $x_0\in R$.

Published on 30 Jul 2016 - 14:35

score 197 · Answer 14 · 2016-07-30 15:21:16

197

Views

Does $\lim_{x \to 0+} \left(x\lfloor \frac{a}{x} \rfloor\right)=a?$

Published on 30 Jul 2016 - 15:21

score 93 · Answer 15 · 2016-08-03 12:24:33

93

Views

How many positive integers $N \le 10^6$ such that $\lfloor \sqrt N \rfloor|N$?

Published on 03 Aug 2016 - 12:24

List Question

Find the integer part of the sum $S=\sum_{k=1}^{80} \frac{1}{\sqrt k} $

The greatest value of $\cos(xe^{\lfloor x \rfloor} +7x^2 -3x)$

Solve in integers $x,y$ the equation $\left\lfloor\frac{xy-xy^2}{x+y^2} \right\rfloor=a$

Proving that $\lceil f(x) \rceil$ $=$ $\lceil f(\lceil x \rceil )\rceil$ when $f(x) =$ integer $\implies x =$ integer

$\lfloor x\rfloor \cdot \lfloor x^2\rfloor = \lfloor x^3\rfloor$ means that $x$ is close to an integer

Limit of an integral involving the floor function

How to prove that $\lfloor \frac{n}{2}\rfloor$ = $\lceil \frac{n-1}{2}\rceil$

High Cap value of ⌈3.02⌉

About a proof that $\lfloor x^2\rfloor = \lfloor x\rfloor^2$ for unbounded non integer values of $x$

Value of a product of cosines and the floor of its reciprocal

How to simplify a sum involving the floor function

Every positive integer is a limit point of the sequence $a_n=n-\sqrt{n}\left\lfloor{\sqrt{n}}\right\rfloor$

Let f(x)= $\lfloor x \rfloor+ \lfloor -x \rfloor$ Prove: The limit $\lim_{x \to x_0}f(x)$ exists for every $x_0\in R$.

Does $\lim_{x \to 0+} \left(x\lfloor \frac{a}{x} \rfloor\right)=a?$

How many positive integers $N \le 10^6$ such that $\lfloor \sqrt N \rfloor|N$?

Trending Questions

Popular # Hahtags

Popular Questions