Question

Limit Evaluation - $\lim_{x \to 0^+} \frac{x^2\csc3x}{1-\cos2x} $

score 64 · Answer 1 · 2026-04-17 07:02:20

64

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Limit Evaluation - $\lim_{x \to 0^+} \frac{x^2\csc3x}{1-\cos2x} $

Published on 17 Apr 2026 - 7:02

score 114 · Answer 2 · 2026-04-17 04:35:25

114

Views

Proving that if $f=0$ on an arc or region in $D$, where $f$ is analytic on $D$, than $f = 0$ on $D$.

Published on 17 Apr 2026 - 4:35

score 719 · Answer 3 · 2026-03-25 06:06:20

719

Views

Fractional Linear Transformation of the Image of the Line $y=4-x$

Published on 25 Mar 2026 - 6:06

score 980 · Answer 4 · 2026-04-16 05:40:15

980

Views

UMVUE for $\theta$ of uniform distribution $\left[ \theta,\theta+1\right]$

Published on 16 Apr 2026 - 5:40

score 35 · Answer 5 · 2026-04-15 20:16:30

35

Views

if $X$ = number of planes that arrive in an hour, what is $E[X(1-X)]$

Published on 15 Apr 2026 - 20:16

score 1.4k · Answer 6 · 2026-04-11 16:41:52

1.4k

Views

How integrating over a branch cut is made rigorous?

Published on 11 Apr 2026 - 16:41

score 345 · Answer 7 · 2026-04-16 17:50:06

345

Views

If omega limit set contains only one point, $x^$, then $\lim_{t\to\infty}\phi(t;x_0)=x^$

Published on 16 Apr 2026 - 17:50

score 61 · Answer 8 · 2026-04-16 16:26:53

61

Views

Find the prime numbers that satisfy the following condition

Published on 16 Apr 2026 - 16:26

score 74 · Answer 9 · 2026-04-14 19:50:01

74

Views

Let $p>11$ be a prime. Then there exists integer $a$ such that $a, a+1$ are quadratic residues modulo $p.$

Published on 14 Apr 2026 - 19:50

score 39 · Answer 10 · 2026-04-12 13:29:36

39

Views

Relationships between permutation and left representation of the same algebraic structure

Published on 12 Apr 2026 - 13:29

score 162 · Answer 11 · 2026-04-15 21:34:56

162

Views

$\mathcal{B}$ being the collection of all open intervals $(a,b)$ in $\mathbf{R}$ with $a,b\in\mathbf{Q}$ is a basis for $\mathbf{R}$

Published on 15 Apr 2026 - 21:34

score 57 · Answer 12 · 2026-04-16 10:17:08

57

Views

Separation properties for the k-topology $\{(a,b): a<b; a,b \in \mathbb{R}\}$

Published on 16 Apr 2026 - 10:17

score 40 · Answer 13 · 2026-04-14 18:45:12

40

Views

Show that limit of the zero set is in the zero set

Published on 14 Apr 2026 - 18:45

score 65 · Answer 14 · 2026-04-13 22:04:19

65

Views

$\widetilde{S}=R\backslash \cup m$, where the union is taken over all $m\in m-\text{Spec}(R)\cap V(I)$

Published on 13 Apr 2026 - 22:04

score 1.1k · Answer 15 · 2026-04-16 11:32:08

1.1k

Views

Show that $\int_0^{2 \pi} \dfrac{d \theta}{5+4 \sin\theta}=\dfrac{2 \pi}{3}.$

Published on 16 Apr 2026 - 11:32

List Question

Limit Evaluation - $\lim_{x \to 0^+} \frac{x^2\csc3x}{1-\cos2x} $

Proving that if $f=0$ on an arc or region in $D$, where $f$ is analytic on $D$, than $f = 0$ on $D$.

Fractional Linear Transformation of the Image of the Line $y=4-x$

UMVUE for $\theta$ of uniform distribution $\left[ \theta,\theta+1\right]$

if $X$ = number of planes that arrive in an hour, what is $E[X(1-X)]$

How integrating over a branch cut is made rigorous?

If omega limit set contains only one point, $x^$, then $\lim_{t\to\infty}\phi(t;x_0)=x^$

Find the prime numbers that satisfy the following condition

Let $p>11$ be a prime. Then there exists integer $a$ such that $a, a+1$ are quadratic residues modulo $p.$

Relationships between permutation and left representation of the same algebraic structure

$\mathcal{B}$ being the collection of all open intervals $(a,b)$ in $\mathbf{R}$ with $a,b\in\mathbf{Q}$ is a basis for $\mathbf{R}$

Separation properties for the k-topology $\{(a,b): a<b; a,b \in \mathbb{R}\}$

Show that limit of the zero set is in the zero set

$\widetilde{S}=R\backslash \cup m$, where the union is taken over all $m\in m-\text{Spec}(R)\cap V(I)$

Show that $\int_0^{2 \pi} \dfrac{d \theta}{5+4 \sin\theta}=\dfrac{2 \pi}{3}.$

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