List questions from solution-verification

Published on 09 Apr 2020 - 16:58

49

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Proving $ \mid a - x| > |b - x|$ implies $(a - b)\cdot(x-b)<0$ where $a,b,x\in\mathbb{R}^N$

Published on 23 Feb 2026 - 1:07

647

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Proving $\bar{A} = \text{int}(A) \cup \partial A$.

Published on 09 Apr 2020 - 17:47

100

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Show boundedness of $\lim\limits_{n \to \infty}(1+\frac{x}{n})^n$

Published on 31 Mar 2026 - 20:07

150

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How to prove $x \leq 0, 0 \leq y \implies x.y \leq 0$?

Published on 09 Apr 2020 - 21:15

133

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Why does the converse of the Isomorphism Theorem in first-order logic not hold?

Published on 25 Mar 2026 - 6:05

119

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Proof that irrational numbers are dense

Published on 09 Apr 2020 - 22:09

81

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Find the area bounded by the curves $f(x)=(x-5)^3$ and $g(x)=x-5$

Published on 09 Apr 2020 - 22:55

2.8k

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A commutative ring R is an integral domain $\iff a,b,c \in R, a \neq0, ab=ac \implies b=c$.

Published on 02 Apr 2026 - 20:56

61

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Confirmation of proof that differentiability implies continuity?

Published on 10 Apr 2020 - 2:06

57

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Uniform convergence of $\frac {nx}{1+nx^2}$ on intervals $(0,\infty)$, $(0,1)$, and $(1,\infty)$

Published on 05 Apr 2026 - 20:19

405

Views

Show that there are $3$ vertices of the same color forming an isosceles triangle.

Published on 25 Mar 2026 - 22:06

99

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Isometric, self-adjoint linear operator is unitary

Published on 10 Apr 2020 - 6:55

544

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Proof verification: $\mathbb{R}^J$ is completely regular under box topology

Published on 10 Apr 2020 - 7:01

177

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Proving the limit of $\frac{n+2}{n^3 -4n-2}$ using first principles.

Published on 10 Apr 2020 - 8:07

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"if and only if" Proof

Proving $ \mid a - x| > |b - x|$ implies $(a - b)\cdot(x-b)<0$ where $a,b,x\in\mathbb{R}^N$

Proving $\bar{A} = \text{int}(A) \cup \partial A$.

Show boundedness of $\lim\limits_{n \to \infty}(1+\frac{x}{n})^n$

How to prove $x \leq 0, 0 \leq y \implies x.y \leq 0$?

Why does the converse of the Isomorphism Theorem in first-order logic not hold?

Proof that irrational numbers are dense

Find the area bounded by the curves $f(x)=(x-5)^3$ and $g(x)=x-5$

A commutative ring R is an integral domain $\iff a,b,c \in R, a \neq0, ab=ac \implies b=c$.

Confirmation of proof that differentiability implies continuity?

Uniform convergence of $\frac {nx}{1+nx^2}$ on intervals $(0,\infty)$, $(0,1)$, and $(1,\infty)$

Show that there are $3$ vertices of the same color forming an isosceles triangle.

Isometric, self-adjoint linear operator is unitary

Proof verification: $\mathbb{R}^J$ is completely regular under box topology

Proving the limit of $\frac{n+2}{n^3 -4n-2}$ using first principles.

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