Question

Proof Help: Prove that limit does not exist for a particular function

score 974 · Answer 1 · 2018-05-17 09:22:02

974

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Proof Help: Prove that limit does not exist for a particular function

Published on 17 May 2018 - 9:22

score 183 · Answer 2 · 2026-03-25 11:10:17

183

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An equation for Fibonacci numbers

Published on 25 Mar 2026 - 11:10

score 2.6k · Answer 3 · 2018-05-20 16:44:15

2.6k

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Prove sign-preserving property of continuous functions using contradiction ((Apsotol calculus vol 1, page 143).

Published on 20 May 2018 - 16:44

score 565 · Answer 4 · 2018-05-20 20:30:12

565

Views

A longer series is better for a better team: Can you see this at a glance?

Published on 20 May 2018 - 20:30

score 2.4k · Answer 5 · 2018-05-21 13:08:11

2.4k

Views

Prove that a function $g$ is Lipschitz with Lipschitz Constant without using the Mean Value Theorem.

Published on 21 May 2018 - 13:08

score 40 · Answer 6 · 2018-05-23 02:49:44

40

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Prove that $\int_{a}^{b} h(x)dx = \lim_{k\to\infty} \sum_{j=1}^{k} h(x^{k}_{j})\frac{b-a}{k}$ using given intermediate points.

Published on 23 May 2018 - 2:49

score 127 · Answer 7 · 2018-05-23 15:31:27

127

Views

Alternative proof limit definition is equivalent to sequence limit definition (Rudin 4.2)

Published on 23 May 2018 - 15:31

score 416 · Answer 8 · 2018-05-25 15:49:42

416

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If $x_n \to 0$ and $\sigma : \mathbb{N} \to \mathbb{N}$ is a bijection, then show that $x_{\sigma (n)} \to 0$

Published on 25 May 2018 - 15:49

score 62 · Answer 9 · 2018-05-29 21:04:51

62

Views

Using a trick to show an integral doesn't converge

Published on 29 May 2018 - 21:04

score 52 · Answer 10 · 2018-05-30 16:42:43

52

Views

Proof-Check: Linear Algebra and Linear Independence

Published on 30 May 2018 - 16:42

score 325 · Answer 11 · 2018-05-30 19:50:36

325

Views

Solution of $\nabla^2u=u_{xx}+u_{yy}=0$?

Published on 30 May 2018 - 19:50

score 872 · Answer 12 · 2026-03-25 01:16:30

872

Views

Is the solution of $ u_{tt}=c^2u_{xx}+xt $ correct?

Published on 25 Mar 2026 - 1:16

score 295 · Answer 13 · 2026-03-24 21:47:34

295

Views

Proving a combinatorial identity: $\sum_{i=0}^m \binom{l}{i}\binom{m+n-l}{m-i} = \binom{m+n}{m}$

Published on 24 Mar 2026 - 21:47

score 990 · Answer 14 · 2018-06-04 06:46:06

990

Views

Are the proofs for the properties of parallel lines, and that a triangle has 180 degrees, inherently tautological?

Published on 04 Jun 2018 - 6:46

score 167 · Answer 15 · 2026-03-25 16:01:07

167

Views

$f(x-y)=f(x)f(y)$

Published on 25 Mar 2026 - 16:01

List Question

Proof Help: Prove that limit does not exist for a particular function

An equation for Fibonacci numbers

Prove sign-preserving property of continuous functions using contradiction ((Apsotol calculus vol 1, page 143).

A longer series is better for a better team: Can you see this at a glance?

Prove that a function $g$ is Lipschitz with Lipschitz Constant without using the Mean Value Theorem.

Prove that $\int_{a}^{b} h(x)dx = \lim_{k\to\infty} \sum_{j=1}^{k} h(x^{k}_{j})\frac{b-a}{k}$ using given intermediate points.

Alternative proof limit definition is equivalent to sequence limit definition (Rudin 4.2)

If $x_n \to 0$ and $\sigma : \mathbb{N} \to \mathbb{N}$ is a bijection, then show that $x_{\sigma (n)} \to 0$

Using a trick to show an integral doesn't converge

Proof-Check: Linear Algebra and Linear Independence

Solution of $\nabla^2u=u_{xx}+u_{yy}=0$?

Is the solution of $ u_{tt}=c^2u_{xx}+xt $ correct?

Proving a combinatorial identity: $\sum_{i=0}^m \binom{l}{i}\binom{m+n-l}{m-i} = \binom{m+n}{m}$

Are the proofs for the properties of parallel lines, and that a triangle has 180 degrees, inherently tautological?

$f(x-y)=f(x)f(y)$

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