List questions from solution-verification

Published on 05 Apr 2026 - 2:06

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Extreme value theorem proof

Published on 05 Apr 2020 - 20:04

183

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Show that $p(x) = ax^3+bx^2+cx+d$ has no integer roots, where $a,b,c,d\in\mathbb{Z}$ and $p(0), p(1)$ are odd

Published on 05 Apr 2020 - 21:25

142

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Debunking issue in proving $ \sqrt2 $ is irrational

Published on 02 Apr 2026 - 19:14

388

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Verification of matrix chain rule

Published on 29 Mar 2026 - 22:38

51

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Does $\ \sin \left(\frac{(k\pi)^2}{x+k\pi}\right)\ {\to \sin(x)}\ $ as odd integers $\ k { \to } \infty$?

Published on 02 Apr 2026 - 19:14

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Let $V$ be a finite-dimensional vector space and $T:V\rightarrow V$ be linear. Suppose that $V = R(T) + N(T)$. Prove that $V = R(T)\oplus N(T)$.

Published on 27 Mar 2026 - 22:53

340

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Laplace transform of Legendre's equation, differential form

Published on 27 Mar 2026 - 0:03

26

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Scalar potential vector

Published on 04 Apr 2026 - 11:52

83

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Pinter's Abstract Algebra, Chapter 27, Exercise G2.

Published on 06 Apr 2020 - 4:37

30

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Is this proof by contraposition of the implication of the disjunkt union correct?

Published on 06 Apr 2020 - 5:04

47

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Stuck with induction Divisibility

Published on 08 Apr 2026 - 3:45

183

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Proof of $\sup(1,3) \cup (5, 8) = 8$.

Published on 06 Apr 2020 - 7:00

164

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Different solutions with different results for an inequality

Published on 30 Mar 2026 - 4:39

76

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Prove $\frac{n-1}{n^2+2} \rightarrow 0$ as $n \rightarrow \infty$

Published on 06 Apr 2020 - 9:13

List Question

Solution verification in this Probability exercise.

Extreme value theorem proof

Show that $p(x) = ax^3+bx^2+cx+d$ has no integer roots, where $a,b,c,d\in\mathbb{Z}$ and $p(0), p(1)$ are odd

Debunking issue in proving $ \sqrt2 $ is irrational

Verification of matrix chain rule

Does $\ \sin \left(\frac{(k\pi)^2}{x+k\pi}\right)\ {\to \sin(x)}\ $ as odd integers $\ k { \to } \infty$?

Let $V$ be a finite-dimensional vector space and $T:V\rightarrow V$ be linear. Suppose that $V = R(T) + N(T)$. Prove that $V = R(T)\oplus N(T)$.

Laplace transform of Legendre's equation, differential form

Scalar potential vector

Pinter's Abstract Algebra, Chapter 27, Exercise G2.

Is this proof by contraposition of the implication of the disjunkt union correct?

Stuck with induction Divisibility

Proof of $\sup(1,3) \cup (5, 8) = 8$.

Different solutions with different results for an inequality

Prove $\frac{n-1}{n^2+2} \rightarrow 0$ as $n \rightarrow \infty$

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