Question

Determine the first element and the difference of arithmetical sequence

score 38 · Answer 1 · 2026-04-15 20:46:22

38

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Determine the first element and the difference of arithmetical sequence

Published on 15 Apr 2026 - 20:46

score 270 · Answer 2 · 2026-05-10 17:17:38

270

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About the proof that every real number in the unit interval is the limit of a sequence of dyadic numbers

Published on 10 May 2026 - 17:17

score 201 · Answer 3 · 2026-04-17 14:23:38

201

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Calculate $ \biggr\lfloor \frac{1}{4^{\frac{1}{3}}} + \frac{1}{5^{\frac{1}{3}}} + ... + \frac{1}{1000000^{\frac{1}{3}}} \biggr\rfloor$

Published on 17 Apr 2026 - 14:23

score 109 · Answer 4 · 2026-04-16 15:24:25

109

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Relating coefficients in $\sum_1^\infty\log(1-x_i) = \log(y)$

Published on 16 Apr 2026 - 15:24

score 150 · Answer 5 · 2026-04-17 13:09:44

150

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What are the most elegant approximations of the sum of binomial terms, by using Stirling's approximation?

Published on 17 Apr 2026 - 13:09

score 53 · Answer 6 · 2026-04-15 15:13:25

53

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Dense subset of $\mathbb{N}$ such that the harmonic serie converges

Published on 15 Apr 2026 - 15:13

score 262 · Answer 7 · 2026-04-14 21:43:58

262

Views

Stephen Abbott "Understanding Analysis" p.81 Exercise 2.8.3.

Published on 14 Apr 2026 - 21:43

score 2.8k · Answer 8 · 2026-04-15 23:55:00

2.8k

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Show $0$ is the only cluster point of the set $A = ${$\frac{1}{n} : n\in\mathbb N$}

Published on 15 Apr 2026 - 23:55

score 713 · Answer 9 · 2026-04-11 13:15:12

713

Views

A difficulty in understanding the proof of "Every convergent sequence is bounded"

Published on 11 Apr 2026 - 13:15

score 5.1k · Answer 10 · 2026-04-14 03:05:41

5.1k

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Fourier cosine series for $\cos(\pi x)$ on $(0,1)$

Published on 14 Apr 2026 - 3:05

score 55 · Answer 11 · 2026-04-14 07:01:05

55

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How can I make a sequence $u_n$ so that $u_{2n+1}$ is increasing and $u_{2n}$ is decreasing?

Published on 14 Apr 2026 - 7:01

score 48 · Answer 12 · 2026-04-12 22:06:01

48

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Dissect a sphere into infinitely many cylinders that have a total volume same with that of the sphere

Published on 12 Apr 2026 - 22:06

score 62 · Answer 13 · 2026-04-15 13:24:21

62

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Arithmetically repeating digit $1$ with interval of $n$ keeping rest of the digits $0$

Published on 15 Apr 2026 - 13:24

score 45 · Answer 14 · 2026-04-12 20:33:04

45

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Could not see the difference between $a_{n}$ & $a_{n+1}$ is as given

Published on 12 Apr 2026 - 20:33

score 78 · Answer 15 · 2026-05-11 08:24:56

78

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What are some properties proved to have largest elements?

Published on 11 May 2026 - 8:24

List Question

Determine the first element and the difference of arithmetical sequence

About the proof that every real number in the unit interval is the limit of a sequence of dyadic numbers

Calculate $ \biggr\lfloor \frac{1}{4^{\frac{1}{3}}} + \frac{1}{5^{\frac{1}{3}}} + ... + \frac{1}{1000000^{\frac{1}{3}}} \biggr\rfloor$

Relating coefficients in $\sum_1^\infty\log(1-x_i) = \log(y)$

What are the most elegant approximations of the sum of binomial terms, by using Stirling's approximation?

Dense subset of $\mathbb{N}$ such that the harmonic serie converges

Stephen Abbott "Understanding Analysis" p.81 Exercise 2.8.3.

Show $0$ is the only cluster point of the set $A = ${$\frac{1}{n} : n\in\mathbb N$}

A difficulty in understanding the proof of "Every convergent sequence is bounded"

Fourier cosine series for $\cos(\pi x)$ on $(0,1)$

How can I make a sequence $u_n$ so that $u_{2n+1}$ is increasing and $u_{2n}$ is decreasing?

Dissect a sphere into infinitely many cylinders that have a total volume same with that of the sphere

Arithmetically repeating digit $1$ with interval of $n$ keeping rest of the digits $0$

Could not see the difference between $a_{n}$ & $a_{n+1}$ is as given

What are some properties proved to have largest elements?

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