Question

The relation between discriminant of conic sections and oblique asymptote

score 475 · Answer 1 · 2026-03-24 22:01:39

475

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The relation between discriminant of conic sections and oblique asymptote

Published on 24 Mar 2026 - 22:01

score 68 · Answer 2 · 2026-04-06 12:39:57

68

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limit of $a_n = \left( \frac{ \sqrt{k} - 1 }{ \sqrt{k} + 1} \right )^n, \quad k\in \mathbb{N}$

Published on 06 Apr 2026 - 12:39

score 61 · Answer 3 · 2026-04-10 17:40:50

61

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Show that $\frac{(2k+h)^2}{\sqrt{h^2+k^2}}\sum_{n=0}^{\infty}\frac{(2k+h)^n}{(n+2)!} \rightarrow 0$ as $(h,k)\rightarrow 0.$

Published on 10 Apr 2026 - 17:40

score 63 · Answer 4 · 2026-03-25 01:18:21

63

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Show if the region $u=\frac{1}{3}$ is (or not) a limit cycle.

Published on 25 Mar 2026 - 1:18

score 73 · Answer 5 · 2018-01-25 17:03:33

73

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$\lim_{x\to \infty}f(x)$ doesn't exist. Show that there is $x_0\in\mathbb{R}$ such that $f'(x_0)=0$.

Published on 25 Jan 2018 - 17:03

score 79 · Answer 6 · 2026-03-26 10:48:12

79

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Limit of $x^2(1 - x \sin \frac{1}{x})$ as $x \to \infty$

Published on 26 Mar 2026 - 10:48

score 51 · Answer 7 · 2026-04-10 17:40:50

51

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Show that $f(x,y)=\sin{(x+y)}$ is differentiable at $(1,1)$

Published on 10 Apr 2026 - 17:40

score 761 · Answer 8 · 2026-04-10 01:03:10

761

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Problems with limits and asymptotic notation

Published on 10 Apr 2026 - 1:03

score 63 · Answer 9 · 2026-04-06 09:00:03

63

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series of products of two sequences

Published on 06 Apr 2026 - 9:00

score 970 · Answer 10 · 2026-03-29 07:29:14

970

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How to solve the limit of $\ln(x \sin x)$ as $x$ approaches $0$?

Published on 29 Mar 2026 - 7:29

score 183 · Answer 11 · 2026-03-25 06:06:35

183

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How the sequence $S_n=\frac{1}{2}({S_{n-1}+S_{n-2}}), \forall n>2,$ converge?

Published on 25 Mar 2026 - 6:06

score 73 · Answer 12 · 2026-03-26 10:46:38

73

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Proving Taylor series remainder formula

Published on 26 Mar 2026 - 10:46

score 83 · Answer 13 · 2026-04-11 00:49:33

83

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How do I prove that $\lim _{x\to a}e^x = e^a$?

Published on 11 Apr 2026 - 0:49

score 38 · Answer 14 · 2018-01-26 09:01:02

Find the area of underneath the curve $ \ f(x)=4-3x \ $ over the interval $ \ [2,4] \ $ by dividing the interval into $ \ n \ $

score 2.5k · Answer 15 · 2026-04-09 19:40:08

2.5k

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How to find the following limit algebraically?

Published on 09 Apr 2026 - 19:40

List Question

The relation between discriminant of conic sections and oblique asymptote

limit of $a_n = \left( \frac{ \sqrt{k} - 1 }{ \sqrt{k} + 1} \right )^n, \quad k\in \mathbb{N}$

Show that $\frac{(2k+h)^2}{\sqrt{h^2+k^2}}\sum_{n=0}^{\infty}\frac{(2k+h)^n}{(n+2)!} \rightarrow 0$ as $(h,k)\rightarrow 0.$

Show if the region $u=\frac{1}{3}$ is (or not) a limit cycle.

$\lim_{x\to \infty}f(x)$ doesn't exist. Show that there is $x_0\in\mathbb{R}$ such that $f'(x_0)=0$.

Limit of $x^2(1 - x \sin \frac{1}{x})$ as $x \to \infty$

Show that $f(x,y)=\sin{(x+y)}$ is differentiable at $(1,1)$

Problems with limits and asymptotic notation

series of products of two sequences

How to solve the limit of $\ln(x \sin x)$ as $x$ approaches $0$?

How the sequence $S_n=\frac{1}{2}({S_{n-1}+S_{n-2}}), \forall n>2,$ converge?

Proving Taylor series remainder formula

How do I prove that $\lim _{x\to a}e^x = e^a$?

Find the area of underneath the curve $ \ f(x)=4-3x \ $ over the interval $ \ [2,4] \ $ by dividing the interval into $ \ n \ $

How to find the following limit algebraically?

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