Question

Finding the limit: $\lim_{x\to \infty}\frac{1}{2}x\sin {\frac{180(x-2)}{x}}$

score 99 · Answer 1 · 2020-08-29 17:22:17

99

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Finding the limit: $\lim_{x\to \infty}\frac{1}{2}x\sin {\frac{180(x-2)}{x}}$

Published on 29 Aug 2020 - 17:22

score 316 · Answer 2 · 2020-08-31 18:21:54

316

Views

Proving Leibniz formula for $\pi$ with Fourier series

Published on 31 Aug 2020 - 18:21

score 170 · Answer 3 · 2020-09-03 11:35:58

170

Views

Can you express every algebraic number in terms of $\pi$

Published on 03 Sep 2020 - 11:35

score 465 · Answer 4 · 2020-09-03 22:18:51

465

Views

Generating $p$-norm circles

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score 53 · Answer 5 · 2020-09-06 21:01:12

53

Views

Polynomial and product expression of sinx for the 5th power!

Published on 06 Sep 2020 - 21:01

score 78 · Answer 6 · 2020-09-10 07:16:18

78

Views

Compute $\sum_{n=1}^\infty \frac{1}{n\pi}$

Published on 10 Sep 2020 - 7:16

score 50 · Answer 7 · 2020-09-16 10:20:39

50

Views

Study the following sequence

Published on 16 Sep 2020 - 10:20

score 193 · Answer 8 · 2026-03-26 03:12:48

193

Views

Prove that $e^\pi > 21$. Without a proof, you can use the two facts: $e > 2.71$ and $\pi > 3.14$.

Published on 26 Mar 2026 - 3:12

score 273 · Answer 9 · 2026-03-30 02:07:15

273

Views

What are nice ways to draw a line of length $\pi$ if neusis is allowed?

Published on 30 Mar 2026 - 2:07

score 95 · Answer 10 · 2026-03-29 17:43:15

95

Views

Significance of $e^\pi$

Published on 29 Mar 2026 - 17:43

score 174 · Answer 11 · 2020-10-02 02:08:34

174

Views

Proving that these definitions of $\pi$ are equivalent: area and half-circumference of unit circle; smallest positive real such that $e^{\pi i}=-1$

Published on 02 Oct 2020 - 2:08

score 117 · Answer 12 · 2020-10-04 19:55:34

117

Views

How do you tell how fast an arctangent formula for pi is to compute?

Published on 04 Oct 2020 - 19:55

score 123 · Answer 13 · 2020-10-08 16:25:07

123

Views

Proving $\frac 12+\sum\limits_{n=0}^\infty\frac{(-1)^n}{(5+6n)(7+6n)}=\frac{\pi}6$ without Leibniz

Published on 08 Oct 2020 - 16:25

score 59 · Answer 14 · 2026-04-02 18:39:17

59

Views

Finite sum of factorials, containing e, pi and bessel function

Published on 02 Apr 2026 - 18:39

score 421 · Answer 15 · 2026-02-23 15:31:26

421

Views

Strange similar approximations of pi and e

Published on 23 Feb 2026 - 15:31

List Question

Finding the limit: $\lim_{x\to \infty}\frac{1}{2}x\sin {\frac{180(x-2)}{x}}$

Proving Leibniz formula for $\pi$ with Fourier series

Can you express every algebraic number in terms of $\pi$

Generating $p$-norm circles

Polynomial and product expression of sinx for the 5th power!

Compute $\sum_{n=1}^\infty \frac{1}{n\pi}$

Study the following sequence

Prove that $e^\pi > 21$. Without a proof, you can use the two facts: $e > 2.71$ and $\pi > 3.14$.

What are nice ways to draw a line of length $\pi$ if neusis is allowed?

Significance of $e^\pi$

Proving that these definitions of $\pi$ are equivalent: area and half-circumference of unit circle; smallest positive real such that $e^{\pi i}=-1$

How do you tell how fast an arctangent formula for pi is to compute?

Proving $\frac 12+\sum\limits_{n=0}^\infty\frac{(-1)^n}{(5+6n)(7+6n)}=\frac{\pi}6$ without Leibniz

Finite sum of factorials, containing e, pi and bessel function

Strange similar approximations of pi and e

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