Question

If $c_{n}=\frac{n\cos(n\pi)}{n+1}$, find $\limsup c_{n}$ and $\liminf c_{n}$.

score 45 · Answer 1 · 2026-04-15 06:02:23

45

Views

If $c_{n}=\frac{n\cos(n\pi)}{n+1}$, find $\limsup c_{n}$ and $\liminf c_{n}$.

Published on 15 Apr 2026 - 6:02

score 667 · Answer 2 · 2026-04-15 22:00:40

667

Views

Taking the Laplace Transform of $\sum_{n=0}^{\infty} f(nT)\delta(t-nT)$.

Published on 15 Apr 2026 - 22:00

score 483 · Answer 3 · 2026-04-10 09:56:32

483

Views

Convergence of convolution under $\| \cdot \|_\infty$ with a weaker kernel

Published on 10 Apr 2026 - 9:56

score 206 · Answer 4 · 2026-05-11 06:51:40

206

Views

Having trouble figuring out when to use induction or direct proof.

Published on 11 May 2026 - 6:51

score 52 · Answer 5 · 2026-04-16 11:16:41

52

Views

Let $(a_n)_{n\in \mathbb N}$ be a bounded non-negative sequence, with density zero converges to 0

Published on 16 Apr 2026 - 11:16

score 45 · Answer 6 · 2026-04-16 05:47:28

45

Views

Proving functional completeness of $F(x,y)=\lnot x \lor y$

Published on 16 Apr 2026 - 5:47

score 1.1k · Answer 7 · 2026-05-15 04:15:46

1.1k

Views

Suppose that $x$ and $y$ are irrational, but $x + y$ is rational. Prove that $x -y$ is irrational.

Published on 15 May 2026 - 4:15

score 171 · Answer 8 · 2026-04-15 00:24:20

171

Views

Application of Unique Factorisation Theorem in Proof

Published on 15 Apr 2026 - 0:24

score 305 · Answer 9 · 2026-04-15 03:53:08

305

Views

An integer with cubic root that is not constructible

Published on 15 Apr 2026 - 3:53

score 68 · Answer 10 · 2026-04-16 21:50:33

68

Views

Mathematical induction: Why is my proof wrong? What would be the correct way to approach this problem?

Published on 16 Apr 2026 - 21:50

score 50 · Answer 11 · 2026-04-13 23:24:07

50

Views

Proving a relation is an equivalence class and finding [5]

Published on 13 Apr 2026 - 23:24

score 525 · Answer 12 · 2026-04-13 05:24:55

525

Views

Lagrange multiplier without implicit function theorem

Published on 13 Apr 2026 - 5:24

score 75 · Answer 13 · 2026-04-13 14:38:50

75

Views

Expand $\frac{1}{z^2}$ as a series on $|z - 2| < 2$

Published on 13 Apr 2026 - 14:38

score 43 · Answer 14 · 2026-05-11 01:28:46

43

Views

Proof of reduction of non-homogeneous ODE problem to homogeneous

Published on 11 May 2026 - 1:28

score 910 · Answer 15 · 2026-04-25 16:44:40

910

Views

Is a proof of the Law of Cosines using the Pythagorean Theorem inherently circular?

Published on 25 Apr 2026 - 16:44

List Question

If $c_{n}=\frac{n\cos(n\pi)}{n+1}$, find $\limsup c_{n}$ and $\liminf c_{n}$.

Taking the Laplace Transform of $\sum_{n=0}^{\infty} f(nT)\delta(t-nT)$.

Convergence of convolution under $\| \cdot \|_\infty$ with a weaker kernel

Having trouble figuring out when to use induction or direct proof.

Let $(a_n)_{n\in \mathbb N}$ be a bounded non-negative sequence, with density zero converges to 0

Proving functional completeness of $F(x,y)=\lnot x \lor y$

Suppose that $x$ and $y$ are irrational, but $x + y$ is rational. Prove that $x -y$ is irrational.

Application of Unique Factorisation Theorem in Proof

An integer with cubic root that is not constructible

Mathematical induction: Why is my proof wrong? What would be the correct way to approach this problem?

Proving a relation is an equivalence class and finding [5]

Lagrange multiplier without implicit function theorem

Expand $\frac{1}{z^2}$ as a series on $|z - 2| < 2$

Proof of reduction of non-homogeneous ODE problem to homogeneous

Is a proof of the Law of Cosines using the Pythagorean Theorem inherently circular?

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