Question

Limit of the sequence $\frac{\sin{1}+\sin{2}+...+\sin{n}}{n}$

score 980 · Answer 1 · 2019-04-09 15:41:29

980

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Limit of the sequence $\frac{\sin{1}+\sin{2}+...+\sin{n}}{n}$

Published on 09 Apr 2019 - 15:41

score 183 · Answer 2 · 2019-04-10 04:57:54

183

Views

Derivations of the trapezoid rule

Published on 10 Apr 2019 - 4:57

score 642 · Answer 3 · 2026-03-26 13:01:21

642

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sum of the first $n^2$ natural numbers closed form

Published on 26 Mar 2026 - 13:01

score 87 · Answer 4 · 2019-04-10 16:36:33

87

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Find the last three digits of $p$ if the equations $x^6 + px^3 + q = 0$ and $x^2 + 5x - 10^{2013} = 0$ have common roots.

Published on 10 Apr 2019 - 16:36

score 51 · Answer 5 · 2026-02-23 04:43:14

51

Views

Understanding logical implication and alternate proofs

Published on 23 Feb 2026 - 4:43

score 402 · Answer 6 · 2019-04-11 17:07:58

402

Views

Taking $\int_{-\infty}^{\infty} \frac{e^{i \omega x}}{1 + ix}dx$ through Residue Theory?

Published on 11 Apr 2019 - 17:07

score 1.4k · Answer 7 · 2026-03-27 18:09:19

1.4k

Views

Very indeterminate form: $\lim_{x \to \infty} \left(\sqrt{x^2+2x+3} -\sqrt{x^2+3}\right)^x \longrightarrow (\infty-\infty)^{\infty}$

Published on 27 Mar 2026 - 18:09

score 758 · Answer 8 · 2026-03-25 15:48:20

758

Views

Parallelogram Law Geometric Proof

Published on 25 Mar 2026 - 15:48

score 105 · Answer 9 · 2026-03-22 12:07:10

105

Views

Is there a geometric proof of $\frac1r = \frac{1}{h_a} + \frac{1}{h_b} + \frac{1}{h_c}$ in a given triangle?

Published on 22 Mar 2026 - 12:07

score 360 · Answer 10 · 2019-04-13 12:14:02

360

Views

Show that if $A$ is star convex, $A$ is simply connected.

Published on 13 Apr 2019 - 12:14

score 68 · Answer 11 · 2026-03-26 21:25:28

68

Views

Inequality involving absolute values.

Published on 26 Mar 2026 - 21:25

score 30 · Answer 12 · 2019-04-15 08:22:40

30

Views

number of ways to order 5 english and 4 french hits

Published on 15 Apr 2019 - 8:22

score 153 · Answer 13 · 2026-03-25 09:30:02

153

Views

If $G$ is a graph having $p$ vertices and min degree $\delta(G)\ge\frac{p-1}{2}$, then the edge connectivity is $\delta(G)$.

Published on 25 Mar 2026 - 9:30

score 191 · Answer 14 · 2026-03-26 23:10:36

191

Views

Prove the inequality $\frac{1}{1+x^2}+\frac{1}{1+y^2}+\frac{1}{1+xy} \geq \frac{3}{1+\frac{(x+y)^2}{4}}$ when $x^2+y^2=1$

Published on 26 Mar 2026 - 23:10

score 46 · Answer 15 · 2026-03-27 19:32:03

46

Views

How to prove this simple property for two sets?

Published on 27 Mar 2026 - 19:32

List Question

Limit of the sequence $\frac{\sin{1}+\sin{2}+...+\sin{n}}{n}$

Derivations of the trapezoid rule

sum of the first $n^2$ natural numbers closed form

Find the last three digits of $p$ if the equations $x^6 + px^3 + q = 0$ and $x^2 + 5x - 10^{2013} = 0$ have common roots.

Understanding logical implication and alternate proofs

Taking $\int_{-\infty}^{\infty} \frac{e^{i \omega x}}{1 + ix}dx$ through Residue Theory?

Very indeterminate form: $\lim_{x \to \infty} \left(\sqrt{x^2+2x+3} -\sqrt{x^2+3}\right)^x \longrightarrow (\infty-\infty)^{\infty}$

Parallelogram Law Geometric Proof

Is there a geometric proof of $\frac1r = \frac{1}{h_a} + \frac{1}{h_b} + \frac{1}{h_c}$ in a given triangle?

Show that if $A$ is star convex, $A$ is simply connected.

Inequality involving absolute values.

number of ways to order 5 english and 4 french hits

If $G$ is a graph having $p$ vertices and min degree $\delta(G)\ge\frac{p-1}{2}$, then the edge connectivity is $\delta(G)$.

Prove the inequality $\frac{1}{1+x^2}+\frac{1}{1+y^2}+\frac{1}{1+xy} \geq \frac{3}{1+\frac{(x+y)^2}{4}}$ when $x^2+y^2=1$

How to prove this simple property for two sets?

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