Question

Series: Finding the area of infinitely many triangles

score 3.4k · Answer 1 · 2026-04-25 07:26:46

3.4k

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Series: Finding the area of infinitely many triangles

Published on 25 Apr 2026 - 7:26

score 77 · Answer 2 · 2026-04-14 13:35:04

77

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Infinite series from 1 to infinity of a pi function equation, evaluate for some constants

Published on 14 Apr 2026 - 13:35

score 592 · Answer 3 · 2026-05-10 13:24:11

592

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How can we prove that $\pi > 3$ using this definition

Published on 10 May 2026 - 13:24

score 219 · Answer 4 · 2026-04-15 14:44:32

219

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$f(x) = g(x)$ for exactly two values of $x$

Published on 15 Apr 2026 - 14:44

score 92 · Answer 5 · 2026-04-24 00:56:24

92

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Determine the limit of $\frac1n \sum\limits_{i=1}^n i^\frac{1}{i}$ as ${n \to \infty}$ .

Published on 24 Apr 2026 - 0:56

score 245 · Answer 6 · 2026-05-13 21:07:28

245

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Cauchy sequence.

Published on 13 May 2026 - 21:07

score 168 · Answer 7 · 2026-05-15 03:45:18

168

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$\lim_{n\to\infty} 1^n = 1$?

Published on 15 May 2026 - 3:45

score 1.1k · Answer 8 · 2026-05-10 15:03:14

1.1k

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Theorem 3.4.11 in Bartle & Sherbert's INTRO TO REAL ANALYSIS, 4th ed: Limit superior and limit inferior of a bounded sequence of real numbers

Published on 10 May 2026 - 15:03

score 1.9k · Answer 9 · 2026-04-14 07:15:03

1.9k

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Series converges if partial sums are bounded?

Published on 14 Apr 2026 - 7:15

score 111 · Answer 10 · 2026-04-16 06:23:41

111

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What can we say about the series: $-1+1-1+1-1+1-1+\cdots=\sum_{n=1}^{\infty}(-1)^n$?

Published on 16 Apr 2026 - 6:23

score 157 · Answer 11 · 2026-04-25 07:39:05

157

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Need to prove: $\sum_{n=1}^{\infty}{a_n}$ converges $\implies\sum_{n=1}^{\infty }\frac{\sqrt{a_n}}{n}$ converges

Published on 25 Apr 2026 - 7:39

score 399 · Answer 12 · 2026-05-10 14:05:52

399

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Average value of $x\sin(x)$ from $0$ to $\infty$

Published on 10 May 2026 - 14:05

score 86 · Answer 13 · 2026-04-15 22:24:07

86

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A sequence $p_n(x)$ that converges for infinitely many values of $x$

Published on 15 Apr 2026 - 22:24

score 76 · Answer 14 · 2026-04-16 13:31:23

76

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Let $f : R_+ \to R $ be a function that satisfies for all $x > 0, f(x) \geq 0$ and $f$ is stricly concave, show that $f$ is mon. increasing

Published on 16 Apr 2026 - 13:31

score 278 · Answer 15 · 2026-04-25 08:56:34

278

Views

Proving $\sum\limits_n^\infty \frac{1}{\sqrt{n(n+1)}}$ divergent without integral test

Published on 25 Apr 2026 - 8:56

List Question

Series: Finding the area of infinitely many triangles

Infinite series from 1 to infinity of a pi function equation, evaluate for some constants

How can we prove that $\pi > 3$ using this definition

$f(x) = g(x)$ for exactly two values of $x$

Determine the limit of $\frac1n \sum\limits_{i=1}^n i^\frac{1}{i}$ as ${n \to \infty}$ .

Cauchy sequence.

$\lim_{n\to\infty} 1^n = 1$?

Theorem 3.4.11 in Bartle & Sherbert's INTRO TO REAL ANALYSIS, 4th ed: Limit superior and limit inferior of a bounded sequence of real numbers

Series converges if partial sums are bounded?

What can we say about the series: $-1+1-1+1-1+1-1+\cdots=\sum_{n=1}^{\infty}(-1)^n$?

Need to prove: $\sum_{n=1}^{\infty}{a_n}$ converges $\implies\sum_{n=1}^{\infty }\frac{\sqrt{a_n}}{n}$ converges

Average value of $x\sin(x)$ from $0$ to $\infty$

A sequence $p_n(x)$ that converges for infinitely many values of $x$

Let $f : R_+ \to R $ be a function that satisfies for all $x > 0, f(x) \geq 0$ and $f$ is stricly concave, show that $f$ is mon. increasing

Proving $\sum\limits_n^\infty \frac{1}{\sqrt{n(n+1)}}$ divergent without integral test

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