Question

Compute: $\lim_{x\to 0}\frac{\sqrt[m]{\cos(\alpha x)}-\sqrt[n]{\cos{(\beta x)}}}{x^2},\;m,n\in\mathbb N,\alpha,\beta\in\mathbb R$

score 203 · Answer 1 · 2026-03-29 20:53:36

203

Views

Compute: $\lim_{x\to 0}\frac{\sqrt[m]{\cos(\alpha x)}-\sqrt[n]{\cos{(\beta x)}}}{x^2},\;m,n\in\mathbb N,\alpha,\beta\in\mathbb R$

Published on 29 Mar 2026 - 20:53

score 1.2k · Answer 2 · 2020-01-22 15:03:00

1.2k

Views

Convergent sequence times a constant

Published on 22 Jan 2020 - 15:03

score 384 · Answer 3 · 2020-01-22 15:35:12

384

Views

show if $\{u, v\}$ is a basis for $V$ and $a$ and $b$ are nonzero, then both $\{u+v,au\}$ and $\{au,bv\}$ are bases for $V$

Published on 22 Jan 2020 - 15:35

score 41 · Answer 4 · 2026-03-29 12:31:41

41

Views

Equality in an inequality problem

Published on 29 Mar 2026 - 12:31

score 203 · Answer 5 · 2026-02-23 04:49:46

203

Views

Showing $S^1$ is not a retract of $\mathbb{D}^2$

Published on 23 Feb 2026 - 4:49

score 50 · Answer 6 · 2020-01-22 19:14:43

50

Views

Is this proof of the conditional convergence of a series correct?

Published on 22 Jan 2020 - 19:14

score 582 · Answer 7 · 2026-03-30 22:56:02

582

Views

Prove that a binary relation R over a set A is a strict order if and only if R is irreflexive and transitive

Published on 30 Mar 2026 - 22:56

score 56 · Answer 8 · 2026-03-30 20:40:48

56

Views

Is my claim correct, that there is a logical error in the solution?

Published on 30 Mar 2026 - 20:40

score 58 · Answer 9 · 2020-01-22 21:55:22

58

Views

How many different selections can be made for choosing a crew of an eight oar boat for the following given data.

Published on 22 Jan 2020 - 21:55

score 444 · Answer 10 · 2020-01-22 23:42:52

444

Views

Proof verification that every open set consists of countably many open intervals

Published on 22 Jan 2020 - 23:42

score 74 · Answer 11 · 2020-01-23 00:37:37

74

Views

Integral Question Help

Published on 23 Jan 2020 - 0:37

score 121 · Answer 12 · 2020-01-23 00:55:01

121

Views

Exchange limit and expectation

Published on 23 Jan 2020 - 0:55

score 148 · Answer 13 · 2020-01-23 01:04:52

148

Views

Help with proof of Frobenius norm being less than induced 1-norm

Published on 23 Jan 2020 - 1:04

score 146 · Answer 14 · 2020-01-23 02:00:24

146

Views

$6$ persons enter the train during the journey with $6$ different tickets of the same class. How many different sets of ticket may they have had?

Published on 23 Jan 2020 - 2:00

score 225 · Answer 15 · 2020-01-23 02:20:51

225

Views

If $A-B = B-A$ what can we say about sets $A$ and $B$?

Published on 23 Jan 2020 - 2:20

List Question

Compute: $\lim_{x\to 0}\frac{\sqrt[m]{\cos(\alpha x)}-\sqrt[n]{\cos{(\beta x)}}}{x^2},\;m,n\in\mathbb N,\alpha,\beta\in\mathbb R$

Convergent sequence times a constant

show if $\{u, v\}$ is a basis for $V$ and $a$ and $b$ are nonzero, then both $\{u+v,au\}$ and $\{au,bv\}$ are bases for $V$

Equality in an inequality problem

Showing $S^1$ is not a retract of $\mathbb{D}^2$

Is this proof of the conditional convergence of a series correct?

Prove that a binary relation R over a set A is a strict order if and only if R is irreflexive and transitive

Is my claim correct, that there is a logical error in the solution?

How many different selections can be made for choosing a crew of an eight oar boat for the following given data.

Proof verification that every open set consists of countably many open intervals

Integral Question Help

Exchange limit and expectation

Help with proof of Frobenius norm being less than induced 1-norm

$6$ persons enter the train during the journey with $6$ different tickets of the same class. How many different sets of ticket may they have had?

If $A-B = B-A$ what can we say about sets $A$ and $B$?

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