Question

$e+\pi$ and $e\cdot\pi$ Transcendental number or what?

score 1.3k · Answer 1 · 2026-03-26 16:26:26

1.3k

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$e+\pi$ and $e\cdot\pi$ Transcendental number or what?

Published on 26 Mar 2026 - 16:26

score 547 · Answer 2 · 2016-07-26 21:59:24

547

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Why does $2\pi$ divided by the number of sides of a polygon give a regular polygon?

Published on 26 Jul 2016 - 21:59

score 87 · Answer 3 · 2026-03-27 03:41:44

87

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Why do we have $\lim \sqrt {2 - \sqrt {2 + \sqrt {2 + \sqrt 2 ...}}} (1/2)^n = \pi $?

Published on 27 Mar 2026 - 3:41

score 613 · Answer 4 · 2026-03-25 23:11:07

613

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Identify $C\approx1.29$ the limit of $\left(\pi - 2^n \sqrt{2-\sqrt{2+\cdots+\sqrt 2}}\right)\cdot 4^n$

Published on 25 Mar 2026 - 23:11

score 381 · Answer 5 · 2016-08-12 06:39:53

381

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Is $\sqrt{2\sqrt[3]{3!\sqrt[4]{4!\sqrt[5]{5!..}}}}=2\log \pi$

Published on 12 Aug 2016 - 6:39

score 328 · Answer 6 · 2026-03-26 23:09:16

328

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Intuition behind irrationality of $\pi$

Published on 26 Mar 2026 - 23:09

score 183 · Answer 7 · 2016-08-21 03:25:40

183

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How many terms of $4\sum_{0}^{\infty}\frac{(1/5)^{2n+1}}{2n+1}-\sum_{0}^{\infty}\frac{(1/239)^{2n+1}}{2n+1}=\frac{\pi}{4}$ are needed to estimate

Published on 21 Aug 2016 - 3:25

score 124 · Answer 8 · 2016-08-25 04:37:34

Is the equation $\pi=\sum_{n=0}^{\infty}\frac{6(-1)^n}{(2n+1)3^{n+1/2}}$ accurate, if so to how many digits? Is it equivalent to other equations?

score 343 · Answer 9 · 2016-08-25 04:41:40

343

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Why does $\pi$ cancel out when converting angle measures from radians to degrees?

Published on 25 Aug 2016 - 4:41

score 255 · Answer 10 · 2016-08-26 20:41:58

255

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Does $\pi$ span an infinite grid?

Published on 26 Aug 2016 - 20:41

score 246 · Answer 11 · 2016-08-27 09:15:36

246

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Error computing $\pi$ approximation

Published on 27 Aug 2016 - 9:15

score 124 · Answer 12 · 2016-08-29 22:57:34

124

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Prove that $\pi$ is irrational

Published on 29 Aug 2016 - 22:57

score 1.5k · Answer 13 · 2016-08-30 09:51:07

1.5k

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How to show this formula using a Fourier sine series expansion? $\sum _{k=1}^{\infty }\frac {\left( -1\right) ^{k-1}} {2k-1}=\frac {\pi } {4}$

Published on 30 Aug 2016 - 9:51

score 515 · Answer 14 · 2026-03-27 13:25:36

515

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Can this "formal proof" of irrationality of $\pi$ be made rigorous?

Published on 27 Mar 2026 - 13:25

score 673 · Answer 15 · 2026-03-25 20:27:40

673

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Connection between Fibonacci numbers and the properties of the circle

Published on 25 Mar 2026 - 20:27

List Question

$e+\pi$ and $e\cdot\pi$ Transcendental number or what?

Why does $2\pi$ divided by the number of sides of a polygon give a regular polygon?

Why do we have $\lim \sqrt {2 - \sqrt {2 + \sqrt {2 + \sqrt 2 ...}}} (1/2)^n = \pi $?

Identify $C\approx1.29$ the limit of $\left(\pi - 2^n \sqrt{2-\sqrt{2+\cdots+\sqrt 2}}\right)\cdot 4^n$

Is $\sqrt{2\sqrt[3]{3!\sqrt[4]{4!\sqrt[5]{5!..}}}}=2\log \pi$

Intuition behind irrationality of $\pi$

How many terms of $4\sum_{0}^{\infty}\frac{(1/5)^{2n+1}}{2n+1}-\sum_{0}^{\infty}\frac{(1/239)^{2n+1}}{2n+1}=\frac{\pi}{4}$ are needed to estimate

Is the equation $\pi=\sum_{n=0}^{\infty}\frac{6(-1)^n}{(2n+1)3^{n+1/2}}$ accurate, if so to how many digits? Is it equivalent to other equations?

Why does $\pi$ cancel out when converting angle measures from radians to degrees?

Does $\pi$ span an infinite grid?

Error computing $\pi$ approximation

Prove that $\pi$ is irrational

How to show this formula using a Fourier sine series expansion? $\sum _{k=1}^{\infty }\frac {\left( -1\right) ^{k-1}} {2k-1}=\frac {\pi } {4}$

Can this "formal proof" of irrationality of $\pi$ be made rigorous?

Connection between Fibonacci numbers and the properties of the circle

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