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Convergence of random variable Poisson distribution

score 1.5k · Answer 1 · 2026-04-11 03:36:01

1.5k

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Convergence of random variable Poisson distribution

Published on 11 Apr 2026 - 3:36

score 84 · Answer 2 · 2026-04-13 07:03:16

84

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How to evaluate $\sum\limits_{n=0}^\infty\frac{1}{x^n+y^n}$ for $x,y>1$?

Published on 13 Apr 2026 - 7:03

score 29 · Answer 3 · 2026-03-31 10:13:42

29

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$\lim\limits_{u\rightarrow\infty}|F_1(u,x)-F_2(u,x)|=0,\forall x\geq0\implies\lim\limits_{u\rightarrow\infty}\sup_{x\geq0}|F_1(u,x)-F_2(u,x)|=0$?

Published on 31 Mar 2026 - 10:13

score 352 · Answer 4 · 2026-04-13 20:24:46

352

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Let there be a sequence such that the distance between two consecutive terms converges to 0. Must this sequence converge?

Published on 13 Apr 2026 - 20:24

score 52 · Answer 5 · 2026-04-10 08:15:36

52

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Verification of proof of nonconvergence

Published on 10 Apr 2026 - 8:15

score 100 · Answer 6 · 2026-04-09 14:57:20

100

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How to use a conditional statement in an infinite series to approach a specific limit

Published on 09 Apr 2026 - 14:57

score 126 · Answer 7 · 2019-03-08 02:01:07

126

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Proving convergence/divergence of this series?

Published on 08 Mar 2019 - 2:01

score 312 · Answer 8 · 2026-04-09 13:21:56

312

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If $f_n,f\in C_0$ and for all $x_n,x$ with $x_n\to x$ we've got $f_n(x_n)\to f(x)$, then $\left\|f_n-f\right\|_\infty\to0$

Published on 09 Apr 2026 - 13:21

score 178 · Answer 9 · 2019-03-08 11:30:22

178

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$\lim\limits_{n\to \infty} \int_0^1 |f(x)-a_nx-b_n| dx=0$ implies $(a_n)_n,(b_n)_n$ are convergent

Published on 08 Mar 2019 - 11:30

score 179 · Answer 10 · 2026-04-13 13:00:17

179

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exp(x) monotonic and convergent to 0 for negative x

Published on 13 Apr 2026 - 13:00

score 256 · Answer 11 · 2026-03-31 05:41:30

256

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$A$ closed, $B$ compact. $A$ and $B$ are disjoint. Prove that the distance between them is positive.

Published on 31 Mar 2026 - 5:41

score 46 · Answer 12 · 2019-03-08 19:44:58

46

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Let $X=\{0,1\}$ and $\tau =\{ \emptyset , X, \{0\} \}$. Is $(x_n)=0,0,... $ convergence?

Published on 08 Mar 2019 - 19:44

score 237 · Answer 13 · 2019-03-08 19:59:08

237

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Prove that the given sequence converges

Published on 08 Mar 2019 - 19:59

score 50 · Answer 14 · 2019-03-08 20:21:22

50

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If a sequence $s_n$ of real numbers converges to $s>a$ then $s_n>a$

Published on 08 Mar 2019 - 20:21

score 79 · Answer 15 · 2026-04-12 07:36:57

79

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Partial derivatives and convergence to zero

Published on 12 Apr 2026 - 7:36

List Question

Convergence of random variable Poisson distribution

How to evaluate $\sum\limits_{n=0}^\infty\frac{1}{x^n+y^n}$ for $x,y>1$?

$\lim\limits_{u\rightarrow\infty}|F_1(u,x)-F_2(u,x)|=0,\forall x\geq0\implies\lim\limits_{u\rightarrow\infty}\sup_{x\geq0}|F_1(u,x)-F_2(u,x)|=0$?

Let there be a sequence such that the distance between two consecutive terms converges to 0. Must this sequence converge?

Verification of proof of nonconvergence

How to use a conditional statement in an infinite series to approach a specific limit

Proving convergence/divergence of this series?

If $f_n,f\in C_0$ and for all $x_n,x$ with $x_n\to x$ we've got $f_n(x_n)\to f(x)$, then $\left\|f_n-f\right\|_\infty\to0$

$\lim\limits_{n\to \infty} \int_0^1 |f(x)-a_nx-b_n| dx=0$ implies $(a_n)_n,(b_n)_n$ are convergent

exp(x) monotonic and convergent to 0 for negative x

$A$ closed, $B$ compact. $A$ and $B$ are disjoint. Prove that the distance between them is positive.

Let $X=\{0,1\}$ and $\tau =\{ \emptyset , X, \{0\} \}$. Is $(x_n)=0,0,... $ convergence?

Prove that the given sequence converges

If a sequence $s_n$ of real numbers converges to $s>a$ then $s_n>a$

Partial derivatives and convergence to zero

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