Question

Limiting distribution of $T_n=\frac{\sum_{i=1}^n(2X_i−n)}{n}−3$ where $f_k(x) =\frac{x^k}{k!}e^{−x}I_{(0,\infty)}(x)$

score 103 · Answer 1 · 2026-04-16 01:44:20

103

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Limiting distribution of $T_n=\frac{\sum_{i=1}^n(2X_i−n)}{n}−3$ where $f_k(x) =\frac{x^k}{k!}e^{−x}I_{(0,\infty)}(x)$

Published on 16 Apr 2026 - 1:44

score 80 · Answer 2 · 2026-04-12 20:12:52

80

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Finding $\lim_{x\to-\infty}\sqrt{x^2-5x+1}-x$ results in loss of information

Published on 12 Apr 2026 - 20:12

score 72 · Answer 3 · 2026-04-14 21:03:38

72

Views

Find constant $a$ in way that $\lim_{x\rightarrow -2} \frac{3x^2+ax+a+3}{x^2+x-2}$ has limit

Published on 14 Apr 2026 - 21:03

score 577 · Answer 4 · 2026-05-11 00:31:01

577

Views

Limits, derivatives, and dividing by zero. [Contradiction in derivative defintions?]

Published on 11 May 2026 - 0:31

score 553 · Answer 5 · 2026-05-13 17:46:16

553

Views

what is limit of $\lim_{(x,y)\rightarrow(0,0)}\frac{\sin(2x+2y)-2x-2y}{\root\of {{x^2+y^2}}}$

Published on 13 May 2026 - 17:46

score 117 · Answer 6 · 2026-04-16 14:18:37

117

Views

Extend $f(x )= \frac{|x^2-4|}{x^2-4}$ in a way that $f(x)$ is continuous

Published on 16 Apr 2026 - 14:18

score 51 · Answer 7 · 2026-04-15 11:48:41

51

Views

Determine whether the following infinite series is convergent or not.

Published on 15 Apr 2026 - 11:48

score 127 · Answer 8 · 2026-04-13 23:08:33

127

Views

An unorthodox way of converting a recurrent sequence into a non-recurrent one

Published on 13 Apr 2026 - 23:08

score 100 · Answer 9 · 2026-04-15 22:18:44

100

Views

Extend $f(x)=\frac{6x^3-11x^2-16x-4}{2x^2-5x-2}$ in a way it is continuous $\forall x \in \mathbb{R}$

Published on 15 Apr 2026 - 22:18

score 168 · Answer 10 · 2026-04-17 14:22:00

168

Views

limit of a relation

Published on 17 Apr 2026 - 14:22

score 1.3k · Answer 11 · 2026-04-16 16:12:50

1.3k

Views

Prove $\lim_{x\rightarrow -3} 1-4x=13$

Published on 16 Apr 2026 - 16:12

score 98 · Answer 12 · 2026-04-16 09:58:09

98

Views

Prove $\lim\limits_{r \to \infty} r-\frac{\sqrt{r}}{e^{r}}\sum_{n=0}^{\infty}\frac{\Gamma{(n+3/2)}r^n}{(n!)^2}=1/4$

Published on 16 Apr 2026 - 9:58

score 92 · Answer 13 · 2026-04-16 08:25:46

92

Views

sufficient condition for having $f' \to 0$ if $f \to 0$

Published on 16 Apr 2026 - 8:25

score 158 · Answer 14 · 2026-04-17 07:30:49

158

Views

Limiting Distribution of $T_n= \frac{1}{\sqrt{U_n}}$ where $U_n\sim\text{uniform} (0, n)$

Published on 17 Apr 2026 - 7:30

score 358 · Answer 15 · 2026-04-15 22:25:57

358

Views

Proof verification of $\lim_{x\to-2^+}\frac{x^2+x-2}{\sqrt{x+2}}=0$ using $\epsilon$-$\delta$

Published on 15 Apr 2026 - 22:25

List Question

Limiting distribution of $T_n=\frac{\sum_{i=1}^n(2X_i−n)}{n}−3$ where $f_k(x) =\frac{x^k}{k!}e^{−x}I_{(0,\infty)}(x)$

Finding $\lim_{x\to-\infty}\sqrt{x^2-5x+1}-x$ results in loss of information

Find constant $a$ in way that $\lim_{x\rightarrow -2} \frac{3x^2+ax+a+3}{x^2+x-2}$ has limit

Limits, derivatives, and dividing by zero. [Contradiction in derivative defintions?]

what is limit of $\lim_{(x,y)\rightarrow(0,0)}\frac{\sin(2x+2y)-2x-2y}{\root\of {{x^2+y^2}}}$

Extend $f(x )= \frac{|x^2-4|}{x^2-4}$ in a way that $f(x)$ is continuous

Determine whether the following infinite series is convergent or not.

An unorthodox way of converting a recurrent sequence into a non-recurrent one

Extend $f(x)=\frac{6x^3-11x^2-16x-4}{2x^2-5x-2}$ in a way it is continuous $\forall x \in \mathbb{R}$

limit of a relation

Prove $\lim_{x\rightarrow -3} 1-4x=13$

Prove $\lim\limits_{r \to \infty} r-\frac{\sqrt{r}}{e^{r}}\sum_{n=0}^{\infty}\frac{\Gamma{(n+3/2)}r^n}{(n!)^2}=1/4$

sufficient condition for having $f' \to 0$ if $f \to 0$

Limiting Distribution of $T_n= \frac{1}{\sqrt{U_n}}$ where $U_n\sim\text{uniform} (0, n)$

Proof verification of $\lim_{x\to-2^+}\frac{x^2+x-2}{\sqrt{x+2}}=0$ using $\epsilon$-$\delta$

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