List questions from proof-verification

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Proof by Induction: $ \sum_{i=1}^{n} i \cdot i! = (n+1)! -1$

Published on 29 Apr 2026 - 9:20

39

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Possible description/definition of exponential function (proof verification/review)

Published on 09 Apr 2026 - 3:04

161

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If $\sigma(n)/n = 5/3$, then $5 \nmid n$. Does it also follow that $3 \nmid \sigma(n)$?

Published on 16 Apr 2026 - 13:06

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Topological Spaces and closed sets

Published on 14 Apr 2026 - 1:21

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Find all $P\in \mathbb{C}[X]$ such that $P(\mathbb{Q})\subset \mathbb{Q}$

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164

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Proof verification - application of Girsanov to Brownian running max with nonzero drift

Published on 12 Apr 2026 - 17:43

112

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Clarification on proof of theorem 2.1 in Apostol Calculus I

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108

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Rigorous or not?

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545

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Study convergence of $x_{n+1} = x_n^2 + 3x_n + 1$, where $x_1 = a$, and $a$ takes different values and find its limit.

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Show directly that if $\{s_n\}$ is a Cauchy sequence then so is $\{|s_n|\}$. Conclude that $\{|s_n|\}$ converges whenever $\{s_n\}$ converges.

Published on 17 Apr 2026 - 0:40

247

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Is it replacement axiom true in the structure $(\omega,\in)$?

Published on 29 Apr 2026 - 16:16

210

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What's wrong with this proof by contradiction (Session 3.3 of How to prove it)?

Published on 13 Apr 2026 - 1:29

38

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Weighted series of values of an $L^1$ function

Published on 15 Apr 2026 - 0:13

457

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Continuous functions in metric spaces and open sets

Published on 13 Apr 2026 - 19:32

List Question

Proof Evaluation for Question 16 a on Chapter 1 of Baby Rudin

Proof by Induction: $ \sum_{i=1}^{n} i \cdot i! = (n+1)! -1$

Possible description/definition of exponential function (proof verification/review)

If $\sigma(n)/n = 5/3$, then $5 \nmid n$. Does it also follow that $3 \nmid \sigma(n)$?

Topological Spaces and closed sets

Find all $P\in \mathbb{C}[X]$ such that $P(\mathbb{Q})\subset \mathbb{Q}$

Proof verification - application of Girsanov to Brownian running max with nonzero drift

Clarification on proof of theorem 2.1 in Apostol Calculus I

Rigorous or not?

Study convergence of $x_{n+1} = x_n^2 + 3x_n + 1$, where $x_1 = a$, and $a$ takes different values and find its limit.

Show directly that if $\{s_n\}$ is a Cauchy sequence then so is $\{|s_n|\}$. Conclude that $\{|s_n|\}$ converges whenever $\{s_n\}$ converges.

Is it replacement axiom true in the structure $(\omega,\in)$?

What's wrong with this proof by contradiction (Session 3.3 of How to prove it)?

Weighted series of values of an $L^1$ function

Continuous functions in metric spaces and open sets

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