List questions from alternative-proof

Published on 08 Jul 2015 - 2:28

72

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If $\{a_{n_k}\}$ is a subset of $\{a_n\}$, $\lim_{k\to\infty} a_{n_k }= \lim_{n\to\infty} a_n\ $

Published on 08 Jul 2015 - 2:43

1k

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Euler-Mascheroni constant [strategic proof]

Published on 26 Mar 2026 - 6:03

91

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The proof of the integral test using the contradiction method.

Published on 11 Jul 2015 - 3:17

123

Views

Are there less trivial necessary and sufficient conditions?

Published on 12 Jul 2015 - 13:14

344

Views

What is your favorite proof of the Pythagorean Theorem? Why?

Published on 13 Jul 2015 - 22:02

357

Views

Looking for a direct proof of the following exercise

Published on 13 Jul 2015 - 23:03

368

Views

On the value of proofs vs counterexamples

Published on 14 Jul 2015 - 3:22

439

Views

Conformal map from $\{z \in \mathbb{C}: |z|>1\}\setminus (-\infty,-1)$ onto $\mathbb{C}\setminus(-\infty,0]$

Published on 29 Mar 2026 - 17:24

515

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Easy proof of Cayley Hamilton theorem

Published on 15 Jul 2015 - 8:32

1.2k

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Different proofs that $\lim_{n\to\infty}\sin n$ does not exist

Published on 15 Jul 2015 - 16:29

92

Views

Exercise about nbd-finiteness (Dugunji III.9.1)

Published on 15 Jul 2015 - 17:57

1k

Views

How to prove the External Bisector Theorem by dropping perpendiculars from a triangle's vertices?

Published on 16 Jul 2015 - 7:53

122

Views

proof about triangles with sides in arithmetic progression

Published on 16 Jul 2015 - 18:23

1.4k

Views

Expected value of cube projection

Published on 30 Mar 2026 - 3:58

List Question

Prove that $\{a_n\}$ is bounded

If $\{a_{n_k}\}$ is a subset of $\{a_n\}$, $\lim_{k\to\infty} a_{n_k }= \lim_{n\to\infty} a_n\ $

Euler-Mascheroni constant [strategic proof]

The proof of the integral test using the contradiction method.

Are there less trivial necessary and sufficient conditions?

What is your favorite proof of the Pythagorean Theorem? Why?

Looking for a direct proof of the following exercise

On the value of proofs vs counterexamples

Conformal map from $\{z \in \mathbb{C}: |z|>1\}\setminus (-\infty,-1)$ onto $\mathbb{C}\setminus(-\infty,0]$

Easy proof of Cayley Hamilton theorem

Different proofs that $\lim_{n\to\infty}\sin n$ does not exist

Exercise about nbd-finiteness (Dugunji III.9.1)

How to prove the External Bisector Theorem by dropping perpendiculars from a triangle's vertices?

proof about triangles with sides in arithmetic progression

Expected value of cube projection

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