Question

Given a sequence $x_{n}$ in the metric space $(X,d)$, prove that $L$ is a limit point iff there is a subsequence $x_{f(n)}$ which converges to $L$.

score 580 · Answer 1 · 2026-04-15 14:15:29

580

Views

Given a sequence $x_{n}$ in the metric space $(X,d)$, prove that $L$ is a limit point iff there is a subsequence $x_{f(n)}$ which converges to $L$.

Published on 15 Apr 2026 - 14:15

score 37 · Answer 2 · 2026-04-10 15:33:17

37

Views

Substitution for equation in two variables

Published on 10 Apr 2026 - 15:33

score 42 · Answer 3 · 2026-04-16 06:10:45

42

Views

Prove that a sequence of complex numbers $z_{n} = (a_{n},b_{n})$ converges to $z = (a,b)$ iff $a_{n}$ converges to $a$ and $b_{n}$ converges to $b$

Published on 16 Apr 2026 - 6:10

score 160 · Answer 4 · 2026-04-13 05:14:58

160

Views

Finding a bijective correspondence between $X^{\omega}$ and $\mathcal{P}(\mathbb{Z}_+)$

Published on 13 Apr 2026 - 5:14

score 45 · Answer 5 · 2026-04-14 06:37:03

45

Views

Calculate $6^{1866}$ in $\mathbb{Z}_{23}$

Published on 14 Apr 2026 - 6:37

score 109 · Answer 6 · 2026-04-11 08:23:03

109

Views

Hrbacek/Jech Set Theory Axioms Proof

Published on 11 Apr 2026 - 8:23

score 38 · Answer 7 · 2026-04-11 18:11:09

38

Views

Unsure of a proof shorcut in a simple chasing the angle problem

Published on 11 Apr 2026 - 18:11

score 74 · Answer 8 · 2026-04-16 08:21:22

74

Views

Extreme values of $|z|$ when $|z^2+1|=|z-1|$

Published on 16 Apr 2026 - 8:21

score 290 · Answer 9 · 2026-04-15 19:36:43

290

Views

On odd perfect numbers and a GCD - Part III

Published on 15 Apr 2026 - 19:36

score 66 · Answer 10 · 2026-04-16 16:13:19

66

Views

Prove or disprove that $\frac{(x+n)!}{x!}$ is not divisible by $n$ distinct primes where each prime is greater than $\frac{(x+n)e}{n}$

Published on 16 Apr 2026 - 16:13

score 256 · Answer 11 · 2026-04-15 16:17:19

256

Views

Spivak Calculus Chapter 1 Problem 5 (ii)

Published on 15 Apr 2026 - 16:17

score 1.6k · Answer 12 · 2026-04-15 21:06:46

1.6k

Views

Prove that $f$ has a power series expansion around any point in its disc of convergence

Published on 15 Apr 2026 - 21:06

score 130 · Answer 13 · 2026-04-11 04:45:24

130

Views

The Axiom of Choice: Proof Validity

Published on 11 Apr 2026 - 4:45

score 177 · Answer 14 · 2026-04-12 00:34:14

177

Views

How to translate this statement into a mathematical one(using appropriate quantifiers)?

Published on 12 Apr 2026 - 0:34

score 123 · Answer 15 · 2026-04-08 17:38:27

123

Views

Finding the no of V-shaped Permutations?

Published on 08 Apr 2026 - 17:38

List Question

Given a sequence $x_{n}$ in the metric space $(X,d)$, prove that $L$ is a limit point iff there is a subsequence $x_{f(n)}$ which converges to $L$.

Substitution for equation in two variables

Prove that a sequence of complex numbers $z_{n} = (a_{n},b_{n})$ converges to $z = (a,b)$ iff $a_{n}$ converges to $a$ and $b_{n}$ converges to $b$

Finding a bijective correspondence between $X^{\omega}$ and $\mathcal{P}(\mathbb{Z}_+)$

Calculate $6^{1866}$ in $\mathbb{Z}_{23}$

Hrbacek/Jech Set Theory Axioms Proof

Unsure of a proof shorcut in a simple chasing the angle problem

Extreme values of $|z|$ when $|z^2+1|=|z-1|$

On odd perfect numbers and a GCD - Part III

Prove or disprove that $\frac{(x+n)!}{x!}$ is not divisible by $n$ distinct primes where each prime is greater than $\frac{(x+n)e}{n}$

Spivak Calculus Chapter 1 Problem 5 (ii)

Prove that $f$ has a power series expansion around any point in its disc of convergence

The Axiom of Choice: Proof Validity

How to translate this statement into a mathematical one(using appropriate quantifiers)?

Finding the no of V-shaped Permutations?

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