Question

Does anyone recognise this Taylor series expansion of an exp-like function?

score 41 · Answer 1 · 2026-04-13 09:24:50

41

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Does anyone recognise this Taylor series expansion of an exp-like function?

Published on 13 Apr 2026 - 9:24

score 839 · Answer 2 · 2026-04-13 09:45:27

839

Views

Does There exist a bijection between $\mathbb{R}^2$ and $ \mathbb{R}$ such that it is differentiable

Published on 13 Apr 2026 - 9:45

score 1.4k · Answer 3 · 2026-05-10 20:03:53

1.4k

Views

Complexity (prove or disprove): If $f(g(n))=O(n)$ and $f(n)=Ω(n)$ then $g(n)=O(n)$

Published on 10 May 2026 - 20:03

score 518 · Answer 4 · 2026-04-15 00:09:04

Does a $\Sigma$-$\Sigma$ measurable function $f$ : $\mathbb R$- $\mathbb R$ need to be $\mathcal B(\mathbb R)$-$\mathcal B(\mathbb R)$-measurable?

score 1k · Answer 5 · 2026-04-14 04:43:52

1k

Views

Find the values of a variable for which a series converges

Published on 14 Apr 2026 - 4:43

score 39 · Answer 6 · 2026-04-10 19:02:38

39

Views

Proof Verification: Convergence

Published on 10 Apr 2026 - 19:02

score 350 · Answer 7 · 2026-05-12 20:33:09

350

Views

Baby Rudin Chapter 9 #21

Published on 12 May 2026 - 20:33

score 200 · Answer 8 · 2026-05-10 16:48:49

200

Views

Extending continuous functions from almost everywhere to everywhere

Published on 10 May 2026 - 16:48

score 263 · Answer 9 · 2026-05-10 14:46:21

263

Views

Proof Explanation: Sequences, convergence

Published on 10 May 2026 - 14:46

score 172 · Answer 10 · 2026-04-23 02:13:27

172

Views

Location of the extrema of the sinc function

Published on 23 Apr 2026 - 2:13

score 769 · Answer 11 · 2026-05-11 05:19:23

769

Views

Limit of Function of Convergent Sequence

Published on 11 May 2026 - 5:19

score 53 · Answer 12 · 2026-04-16 04:51:44

53

Views

What is the ball associated with a certain metric?

Published on 16 Apr 2026 - 4:51

score 70 · Answer 13 · 2026-04-16 01:25:55

70

Views

Use the formal definition of a functional limit to prove that $\lim_{x\to2}(x^2+x−1)=5.$

Published on 16 Apr 2026 - 1:25

score 57 · Answer 14 · 2026-04-14 12:56:29

57

Views

A sequence is said to converge superlineally to $\alpha$ if $|\alpha-x_{n+1}|\leq c_n|\alpha-x_n|$ to $c_n\to 0$ when $n\to \infty$. (a) Show

Published on 14 Apr 2026 - 12:56

score 95 · Answer 15 · 2026-05-11 00:37:38

95

Views

More difficult proof of limit whose value is e^x

Published on 11 May 2026 - 0:37

List Question

Does anyone recognise this Taylor series expansion of an exp-like function?

Does There exist a bijection between $\mathbb{R}^2$ and $ \mathbb{R}$ such that it is differentiable

Complexity (prove or disprove): If $f(g(n))=O(n)$ and $f(n)=Ω(n)$ then $g(n)=O(n)$

Does a $\Sigma$-$\Sigma$ measurable function $f$ : $\mathbb R$- $\mathbb R$ need to be $\mathcal B(\mathbb R)$-$\mathcal B(\mathbb R)$-measurable?

Find the values of a variable for which a series converges

Proof Verification: Convergence

Baby Rudin Chapter 9 #21

Extending continuous functions from almost everywhere to everywhere

Proof Explanation: Sequences, convergence

Location of the extrema of the sinc function

Limit of Function of Convergent Sequence

What is the ball associated with a certain metric?

Use the formal definition of a functional limit to prove that $\lim_{x\to2}(x^2+x−1)=5.$

A sequence is said to converge superlineally to $\alpha$ if $|\alpha-x_{n+1}|\leq c_n|\alpha-x_n|$ to $c_n\to 0$ when $n\to \infty$. (a) Show

More difficult proof of limit whose value is e^x

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