Question

Show that $\forall \phi\in X^*,\,|\phi(x_n)|\le M_1,\,\forall n\in\mathbb N\implies |x_n|\le M_2,\,\forall n\in\mathbb N$

score 39 · Answer 1 · 2026-05-11 05:45:02

39

Views

Show that $\forall \phi\in X^*,\,|\phi(x_n)|\le M_1,\,\forall n\in\mathbb N\implies |x_n|\le M_2,\,\forall n\in\mathbb N$

Published on 11 May 2026 - 5:45

score 59 · Answer 2 · 2026-04-17 23:16:58

59

Views

Prove that the sequence $\ y_n= \frac{1}{x_1-2}+ \frac{1}{x_2-2}+...+\frac{1}{x_n-2}$ converges and find it`s limit

Published on 17 Apr 2026 - 23:16

score 73 · Answer 3 · 2026-04-18 04:18:09

73

Views

Continuity problem involving sequences

Published on 18 Apr 2026 - 4:18

score 364 · Answer 4 · 2026-04-13 11:03:35

364

Views

Showing no sequence of polynomials converges uniformly

Published on 13 Apr 2026 - 11:03

score 37 · Answer 5 · 2026-04-12 17:06:49

37

Views

Limit of functions in one variable

Published on 12 Apr 2026 - 17:06

score 60 · Answer 6 · 2026-05-11 00:31:05

60

Views

Write $f$ as a series of sines .

Published on 11 May 2026 - 0:31

score 65 · Answer 7 · 2026-04-18 04:22:26

65

Views

Find the $\lim_{n \to \infty} \left(\sum_{r=1}^n \frac{1}{x_r}\right)$

Published on 18 Apr 2026 - 4:22

score 263 · Answer 8 · 2026-05-15 09:37:47

263

Views

$m^*(A)=0$ then there exists Borel measurable sets $B$ and $C$ such that $A=B-C$.

Published on 15 May 2026 - 9:37

score 6.1k · Answer 9 · 2026-04-15 23:19:00

6.1k

Views

Proof Verification: $\lim{C^{1/n}}=1$ for $C>0$

Published on 15 Apr 2026 - 23:19

score 131 · Answer 10 · 2026-05-12 07:23:47

131

Views

tetration as an iterative solution for the transcendental equation $\sqrt[x]{x}=y$

Published on 12 May 2026 - 7:23

score 109 · Answer 11 · 2026-05-11 05:28:39

109

Views

existence of absolute value of function's improper Riemann integral implies existence of function's improper integral

Published on 11 May 2026 - 5:28

score 203 · Answer 12 · 2026-05-10 17:55:43

203

Views

Hypergeometric Function simplification

Published on 10 May 2026 - 17:55

score 1.1k · Answer 13 · 2026-05-11 04:58:37

1.1k

Views

Integral of $L1$ function against compactly supported smooth function:

Published on 11 May 2026 - 4:58

score 296 · Answer 14 · 2026-04-20 06:08:22

296

Views

General term of the math succession

Published on 20 Apr 2026 - 6:08

score 1k · Answer 15 · 2026-04-14 03:54:38

1k

Views

Bounded Lipschitz metric convergence implies weak convergence of probability measures

Published on 14 Apr 2026 - 3:54

List Question

Show that $\forall \phi\in X^*,\,|\phi(x_n)|\le M_1,\,\forall n\in\mathbb N\implies |x_n|\le M_2,\,\forall n\in\mathbb N$

Prove that the sequence $\ y_n= \frac{1}{x_1-2}+ \frac{1}{x_2-2}+...+\frac{1}{x_n-2}$ converges and find it`s limit

Continuity problem involving sequences

Showing no sequence of polynomials converges uniformly

Limit of functions in one variable

Write $f$ as a series of sines .

Find the $\lim_{n \to \infty} \left(\sum_{r=1}^n \frac{1}{x_r}\right)$

$m^*(A)=0$ then there exists Borel measurable sets $B$ and $C$ such that $A=B-C$.

Proof Verification: $\lim{C^{1/n}}=1$ for $C>0$

tetration as an iterative solution for the transcendental equation $\sqrt[x]{x}=y$

existence of absolute value of function's improper Riemann integral implies existence of function's improper integral

Hypergeometric Function simplification

Integral of $L1$ function against compactly supported smooth function:

General term of the math succession

Bounded Lipschitz metric convergence implies weak convergence of probability measures

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