List questions from infinitesimals

318

Views

Why does Spivak say "$dx$ (in $\int f(x) dx$) has no meaning in isolation" in his Calculus textbook?

Published on 24 Aug 2018 - 21:14

87

Views

Partial derivative of Algebra on infinitestimal

Published on 25 Sep 2018 - 4:48

6.6k

Views

Paradox about the volume of a cylinder

Published on 30 Sep 2018 - 15:11

139

Views

Validity of allowing $\epsilon$ to vanish in Baby Rudin Theorem 3.10a

Published on 11 Oct 2018 - 15:00

237

Views

The value of the infinitesimal in integral doesn't matter?

Published on 25 Mar 2026 - 3:03

120

Views

If $f'(x)=0$, is then $f(x+dx)=f(x)$?

Published on 25 Mar 2026 - 1:27

65

Views

How to guess the output of $F(x)$ for $x$ that causes $0/0$

Published on 01 Nov 2018 - 0:39

268

Views

Proof that "$\uparrow$ is the unique solution of $\pmb{+}_G=G$"

Published on 23 Mar 2026 - 1:46

94

Views

$x^2+y^2=0$ implies $x^2$ for every $x,y\in R$ is false

Published on 22 Mar 2026 - 10:58

2.8k

Views

Can we make it equal to x?

Published on 25 Mar 2026 - 7:35

85

Views

Two infinitesimals infinitely close to each other compared to a third one?

Published on 12 Dec 2018 - 20:04

62

Views

When $x$ is given, what is $\mathrm{d}x$?

Published on 15 Dec 2018 - 21:10

352

Views

What is the product of infinitely many infinitesimals?

Published on 19 Dec 2018 - 5:50

78

Views

Notation Question for "Generalization of L’hopital’s Rule" PDF by V. V. Ivlev and I. A. Shilin

Published on 25 Mar 2026 - 4:41

205

Views

Finding the infinitesimal order of a function as $n \to \infty$

Published on 10 Jan 2019 - 15:46

List Question

Why does Spivak say "$dx$ (in $\int f(x) dx$) has no meaning in isolation" in his Calculus textbook?

Partial derivative of Algebra on infinitestimal

Paradox about the volume of a cylinder

Validity of allowing $\epsilon$ to vanish in Baby Rudin Theorem 3.10a

The value of the infinitesimal in integral doesn't matter?

If $f'(x)=0$, is then $f(x+dx)=f(x)$?

How to guess the output of $F(x)$ for $x$ that causes $0/0$

Proof that "$\uparrow$ is the unique solution of $\pmb{+}_G=G$"

$x^2+y^2=0$ implies $x^2$ for every $x,y\in R$ is false

Can we make it equal to x?

Two infinitesimals infinitely close to each other compared to a third one?

When $x$ is given, what is $\mathrm{d}x$?

What is the product of infinitely many infinitesimals?

Notation Question for "Generalization of L’hopital’s Rule" PDF by V. V. Ivlev and I. A. Shilin

Finding the infinitesimal order of a function as $n \to \infty$

Trending Questions

Popular # Hahtags

Popular Questions