Question

Prove that there exists a sequence that contains convergent subsequences converging to any given real number.

score 56 · Answer 1 · 2020-03-04 01:13:55

56

Views

Prove that there exists a sequence that contains convergent subsequences converging to any given real number.

Published on 04 Mar 2020 - 1:13

score 1.7k · Answer 2 · 2026-03-28 05:59:28

1.7k

Views

Show that $\limsup |s_n|=0$ iff $\lim s_n=0$.

Published on 28 Mar 2026 - 5:59

score 266 · Answer 3 · 2026-03-30 03:37:57

266

Views

Prove that the set $A$ of algebraic numbers is denumerable.

Published on 30 Mar 2026 - 3:37

score 31 · Answer 4 · 2020-03-04 03:18:40

31

Views

Prove $\textbf{F}^{\{1,2\}}$ and $\textbf{F}^{2}$ are isomorphic

Published on 04 Mar 2020 - 3:18

score 37 · Answer 5 · 2026-03-25 11:03:28

37

Views

Does it follow that $\pi(p_k\#) > \frac{p_{k-1}\#}{3}$ for $k \ge 7$

Published on 25 Mar 2026 - 11:03

score 149 · Answer 6 · 2020-03-04 08:59:34

149

Views

proof verification: given function cannot be extended continuously past the unit circle.

Published on 04 Mar 2020 - 8:59

score 64 · Answer 7 · 2020-03-04 09:32:15

64

Views

Inequalities proof by math induction

Published on 04 Mar 2020 - 9:32

score 38 · Answer 8 · 2020-03-04 09:52:15

38

Views

Closure of subset with inherited metric (Carothers Proposition 4.13)

Published on 04 Mar 2020 - 9:52

score 206 · Answer 9 · 2020-03-04 13:05:00

206

Views

Find the equation of the tangent line to the graph of $e^{x^7-8x}$ at $(-1,e^7)$

Published on 04 Mar 2020 - 13:05

score 29 · Answer 10 · 2026-03-29 15:14:50

29

Views

Can we save this proof of a resolvent bound without using the (continuous) functional calculus?

Published on 29 Mar 2026 - 15:14

score 797 · Answer 11 · 2020-03-04 16:20:26

797

Views

Show that a sequence of real numbers converges if and only if it is bounded and has not more than one accumulation point

Published on 04 Mar 2020 - 16:20

score 80 · Answer 12 · 2020-03-04 18:59:13

80

Views

Undetermined Coefficients Mistake

Published on 04 Mar 2020 - 18:59

score 340 · Answer 13 · 2020-03-04 19:00:27

340

Views

Show that $0$ is an essential singularity of $e^{\frac{1}{z}}$

Published on 04 Mar 2020 - 19:00

score 176 · Answer 14 · 2026-04-04 09:24:06

176

Views

Boundary of unit ball is closed and bounded

Published on 04 Apr 2026 - 9:24

score 60 · Answer 15 · 2020-03-05 02:30:44

60

Views

Is my proof for "If $f$ and $g$ are surjective, then $g\circ f$ surjective" valid?

Published on 05 Mar 2020 - 2:30

List Question

Prove that there exists a sequence that contains convergent subsequences converging to any given real number.

Show that $\limsup |s_n|=0$ iff $\lim s_n=0$.

Prove that the set $A$ of algebraic numbers is denumerable.

Prove $\textbf{F}^{\{1,2\}}$ and $\textbf{F}^{2}$ are isomorphic

Does it follow that $\pi(p_k\#) > \frac{p_{k-1}\#}{3}$ for $k \ge 7$

proof verification: given function cannot be extended continuously past the unit circle.

Inequalities proof by math induction

Closure of subset with inherited metric (Carothers Proposition 4.13)

Find the equation of the tangent line to the graph of $e^{x^7-8x}$ at $(-1,e^7)$

Can we save this proof of a resolvent bound without using the (continuous) functional calculus?

Show that a sequence of real numbers converges if and only if it is bounded and has not more than one accumulation point

Undetermined Coefficients Mistake

Show that $0$ is an essential singularity of $e^{\frac{1}{z}}$

Boundary of unit ball is closed and bounded

Is my proof for "If $f$ and $g$ are surjective, then $g\circ f$ surjective" valid?

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