Question

Differentiable function such that $\lim_\limits{x\to \infty}f(x)=\infty$

score 102 · Answer 1 · 2026-04-14 05:20:44

102

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Differentiable function such that $\lim_\limits{x\to \infty}f(x)=\infty$

Published on 14 Apr 2026 - 5:20

score 1.2k · Answer 2 · 2026-05-11 00:49:42

1.2k

Views

Curl of gradient is not zero

Published on 11 May 2026 - 0:49

score 112 · Answer 3 · 2026-05-10 17:16:59

112

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Is this triple integral between cylinder and a plane independent of $\pi$?

Published on 10 May 2026 - 17:16

score 53 · Answer 4 · 2026-04-12 04:41:28

53

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What is the derivative of $\mathrm dI/ \mathrm dt$ , where $I =I_0 e^{-t/RC}$?

Published on 12 Apr 2026 - 4:41

score 180 · Answer 5 · 2026-04-23 20:35:01

180

Views

Does this cubic sequence converge or diverge?

Published on 23 Apr 2026 - 20:35

score 864 · Answer 6 · 2026-04-13 09:12:03

864

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How do we know phasors solve differential equations?

Published on 13 Apr 2026 - 9:12

score 285 · Answer 7 · 2026-04-16 04:57:41

285

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Let $g$ be a function such that $\underline{\int_{y\in B}}f(x,y)\leq g(x)\leq \overline{\int_{y\in B}}f(x,y)$ for all $x\in A$. Show that if $f$

Published on 16 Apr 2026 - 4:57

score 153 · Answer 8 · 2026-04-21 08:53:16

153

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Evaluating $\lim _{t\to \infty}\frac{1-\frac{\sqrt{t}}{\sqrt{t+1}}}{2-\frac{\sqrt{4t\:+\:1}}{\sqrt{t+2}}}$

Published on 21 Apr 2026 - 8:53

score 93 · Answer 9 · 2026-04-16 15:20:10

Given $f : \Bbb{R} \to \Bbb{R}$ is a continuous function. To prove that $\int_{0}^{1}f(x)x^2 dx = \frac{f(c)}{3}$ for some $c \in [0,1]$

score 727 · Answer 10 · 2026-04-16 13:12:41

727

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Prove that: $e^{-\frac{|t|}{2}}= \int_{\mathbb R} \frac{e^{ixt}}{1+x^2} dx.$

Published on 16 Apr 2026 - 13:12

score 125 · Answer 11 · 2026-04-17 05:42:32

125

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g C1 in interval about $x_0, g(x_0) = 0$. if $g'(x_0) \neq 0$, there's a small interval around $x_0$ s.t. neither g nor g' vanish except $g(x_0)$

Published on 17 Apr 2026 - 5:42

score 283 · Answer 12 · 2026-04-23 20:29:58

283

Views

Limit Comparison Test for integral

Published on 23 Apr 2026 - 20:29

score 65 · Answer 13 · 2026-05-10 19:14:40

65

Views

Limit of function defined as $|f(x)-f(y)|<K|x-y|$

Published on 10 May 2026 - 19:14

score 55 · Answer 14 · 2026-05-10 13:50:08

55

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$f(x,y)=e^{-\frac{|x-y|}{2}}$ is of positif type on $\mathbb R\times \mathbb R$?

Published on 10 May 2026 - 13:50

score 2.9k · Answer 15 · 2026-04-15 17:00:24

2.9k

Views

Domain of the derivative of the function $y=e^{\sec^2x}+3\cos^{-1}x$

Published on 15 Apr 2026 - 17:00

List Question

Differentiable function such that $\lim_\limits{x\to \infty}f(x)=\infty$

Curl of gradient is not zero

Is this triple integral between cylinder and a plane independent of $\pi$?

What is the derivative of $\mathrm dI/ \mathrm dt$ , where $I =I_0 e^{-t/RC}$?

Does this cubic sequence converge or diverge?

How do we know phasors solve differential equations?

Let $g$ be a function such that $\underline{\int_{y\in B}}f(x,y)\leq g(x)\leq \overline{\int_{y\in B}}f(x,y)$ for all $x\in A$. Show that if $f$

Evaluating $\lim _{t\to \infty}\frac{1-\frac{\sqrt{t}}{\sqrt{t+1}}}{2-\frac{\sqrt{4t\:+\:1}}{\sqrt{t+2}}}$

Given $f : \Bbb{R} \to \Bbb{R}$ is a continuous function. To prove that $\int_{0}^{1}f(x)x^2 dx = \frac{f(c)}{3}$ for some $c \in [0,1]$

Prove that: $e^{-\frac{|t|}{2}}= \int_{\mathbb R} \frac{e^{ixt}}{1+x^2} dx.$

g C1 in interval about $x_0, g(x_0) = 0$. if $g'(x_0) \neq 0$, there's a small interval around $x_0$ s.t. neither g nor g' vanish except $g(x_0)$

Limit Comparison Test for integral

Limit of function defined as $|f(x)-f(y)|<K|x-y|$

$f(x,y)=e^{-\frac{|x-y|}{2}}$ is of positif type on $\mathbb R\times \mathbb R$?

Domain of the derivative of the function $y=e^{\sec^2x}+3\cos^{-1}x$

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