Question

Let $(a_{n})_{n=m}^{\infty}$ be a sequence which converges to a real number $c$. Then $c$ is a limit point of $(a_{n})_{n=m}^{\infty}$

score 101 · Answer 1 · 2026-03-30 03:56:42

101

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Let $(a_{n})_{n=m}^{\infty}$ be a sequence which converges to a real number $c$. Then $c$ is a limit point of $(a_{n})_{n=m}^{\infty}$

Published on 30 Mar 2026 - 3:56

score 63 · Answer 2 · 2026-04-01 10:30:52

63

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Finding a lower bound for $\frac{\Gamma\left(2x+2 - \frac{1.25506(x+1)}{\ln(x+1)}\right)}{\Gamma\left(2x - \frac{1.25506(x)}{\ln x}\right)}$

Published on 01 Apr 2026 - 10:30

score 525 · Answer 3 · 2026-04-13 23:27:41

525

Views

For any sequence of real numbers, one can always find a subsequence that is monotone

Published on 13 Apr 2026 - 23:27

score 125 · Answer 4 · 2026-04-07 22:47:57

125

Views

Computing $\int_Q \frac{xy}{x^2+y^2}dxdy$

Published on 07 Apr 2026 - 22:47

score 149 · Answer 5 · 2026-04-13 04:13:25

149

Views

Prove that polynomial of a third degree can't have more than 3 real solutions. Proof validation

Published on 13 Apr 2026 - 4:13

score 151 · Answer 6 · 2026-04-13 17:09:21

151

Views

Prob. 7 (c), Sec. 31, in Munkres' TOPOLOGY, 2nd ed: The image of a locally compact space under a perfect map is also a locally compact space

Published on 13 Apr 2026 - 17:09

score 35 · Answer 7 · 2026-04-12 02:01:12

35

Views

Regularity preserves under passing to some neighbourhood

Published on 12 Apr 2026 - 2:01

score 62 · Answer 8 · 2026-04-10 15:44:34

62

Views

Verification of a proof for a classic problem

Published on 10 Apr 2026 - 15:44

score 64 · Answer 9 · 2026-04-05 16:19:43

64

Views

$\vec{F}=\frac{x\hat{i}-y\hat{j}}{b^2x^2-a^2 y^2}$ be a planar vector field, Find $\oint_C\vec{F}.d\vec{r}$

Published on 05 Apr 2026 - 16:19

score 148 · Answer 10 · 2020-05-22 17:29:58

148

Views

If we take a finite number of points away from Q is it still dense in R usual topology

Published on 22 May 2020 - 17:29

score 100 · Answer 11 · 2026-04-12 10:50:35

100

Views

Is this a valid approach to proving the Sylvester-Schur Theorem

Published on 12 Apr 2026 - 10:50

score 313 · Answer 12 · 2026-03-26 12:52:03

313

Views

Using 'tiling' proof technique to create combinatoric proofs about number relationships.

Published on 26 Mar 2026 - 12:52

score 78 · Answer 13 · 2026-04-13 18:10:01

78

Views

Proof verification: Showing, through Induction, that a set $S=\mathbb{N}$

Published on 13 Apr 2026 - 18:10

score 90 · Answer 14 · 2020-05-22 21:12:04

90

Views

Show that $\overline{X}$ is closed. Furthermore, show that if $Y$ is any closed set that contains $X$, then $Y$ also contains $\overline{X}$.

Published on 22 May 2020 - 21:12

score 238 · Answer 15 · 2026-04-09 06:16:46

238

Views

Show that if $X$ is compact metrizable then $C(X)$ is separable.

Published on 09 Apr 2026 - 6:16

List Question

Let $(a_{n})_{n=m}^{\infty}$ be a sequence which converges to a real number $c$. Then $c$ is a limit point of $(a_{n})_{n=m}^{\infty}$

Finding a lower bound for $\frac{\Gamma\left(2x+2 - \frac{1.25506(x+1)}{\ln(x+1)}\right)}{\Gamma\left(2x - \frac{1.25506(x)}{\ln x}\right)}$

For any sequence of real numbers, one can always find a subsequence that is monotone

Computing $\int_Q \frac{xy}{x^2+y^2}dxdy$

Prove that polynomial of a third degree can't have more than 3 real solutions. Proof validation

Prob. 7 (c), Sec. 31, in Munkres' TOPOLOGY, 2nd ed: The image of a locally compact space under a perfect map is also a locally compact space

Regularity preserves under passing to some neighbourhood

Verification of a proof for a classic problem

$\vec{F}=\frac{x\hat{i}-y\hat{j}}{b^2x^2-a^2 y^2}$ be a planar vector field, Find $\oint_C\vec{F}.d\vec{r}$

If we take a finite number of points away from Q is it still dense in R usual topology

Is this a valid approach to proving the Sylvester-Schur Theorem

Using 'tiling' proof technique to create combinatoric proofs about number relationships.

Proof verification: Showing, through Induction, that a set $S=\mathbb{N}$

Show that $\overline{X}$ is closed. Furthermore, show that if $Y$ is any closed set that contains $X$, then $Y$ also contains $\overline{X}$.

Show that if $X$ is compact metrizable then $C(X)$ is separable.

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