User iMath

41 votes

8 answers

6k views

Does $1.0000000000\cdots 1$ with an infinite number of $0$ in it exist?

asked Oct 18, 2014 at 7:58

22 votes

11 answers

7k views

What is the length of a point on the real number line?

asked Sep 22, 2016 at 10:19

20 votes

6 answers

3k views

Is $0$ an Infinitesimal?

asked Dec 31, 2014 at 14:53

9 votes

3 answers

1k views

The numerical relation of the sum of two divergence series

asked Sep 9, 2015 at 7:26

8 votes

1 answer

324 views

mathematics was recreated on a foundation of number concepts rather than geometrical ones

asked May 28, 2016 at 11:16

8 votes

4 answers

4k views

Understanding of the formal and intuitive definition of a limit

asked Sep 25, 2014 at 14:52

6 votes

3 answers

2k views

Why Cauchy's definition of infinitesimal is not widely used?

asked Mar 10, 2017 at 10:09

6 votes

3 answers

756 views

one to one correspondance between points on the number axis and real numbers

asked Nov 11, 2017 at 7:53

4 votes

1 answer

548 views

The axiomatic method to real number system VS the constructive method(genetic method)

asked Dec 21, 2017 at 17:37

4 votes

3 answers

382 views

the definition of irrational numbers and the proof of Cauchy's theorem

asked May 1, 2017 at 7:26

4 votes

3 answers

2k views

the need for the formal definition of a limit [duplicate]

asked Sep 27, 2014 at 1:04

4 votes

3 answers

2k views

"one-to-one correspondence"(bijection) and the size of two infinite sets

asked Sep 24, 2016 at 14:24

3 votes

2 answers

109 views

is it possible for $\dfrac {1} {x} $ to be smaller than every positive real number but still bigger than $0$?

asked Nov 14, 2016 at 17:09

3 votes

4 answers

349 views

what makes the number continuum a necessity in Calculus? [closed]

asked May 31, 2017 at 14:23

2 votes

2 answers

187 views

The length of a gap between the rationals

asked Jul 27, 2017 at 17:31

2 votes

4 answers

409 views

which number corresponds to the right endpoint of line segment [0,1)?

asked Dec 28, 2020 at 0:01

2 votes

1 answer

221 views

were Irrational numbers discovered at Archimedes's age?

asked Oct 11, 2016 at 7:48

2 votes

3 answers

618 views

axiom of continuity guarantees no gaps exist on the real axis?

asked May 25, 2016 at 13:15

2 votes

2 answers

100 views

Does $\frac{1}{x}=0$ have a solution?

asked Sep 8, 2015 at 1:44

2 votes

3 answers

5k views

The cardinality of the even numbers is half of the cardinality of the natural numbers? [duplicate]

asked Sep 8, 2015 at 14:55

2 votes

3 answers

272 views

explain why ${\left(\frac{{1}}{{2}}\right)}^{\infty}=0$

asked May 3, 2015 at 7:46

2 votes

2 answers

2k views

$1/\infty$ is zero or infinitesimal? [closed]

asked Nov 9, 2014 at 13:24

1 vote

2 answers

114 views

The length of a point and the interval

asked May 12, 2015 at 1:54

1 vote

5 answers

1k views

why we require ƒ(x) be defined on an open interval about $x_0$?

asked Sep 6, 2015 at 2:47

1 vote

1 answer

188 views

Finding the fallacy in this wrong limit computing result

asked Apr 20, 2015 at 11:56

1 vote

2 answers

660 views

question about proof of L’Hôpital’s Rule

asked Sep 20, 2015 at 3:24

1 vote

2 answers

56 views

for all and for every , what's wrong with this simple contradiction?

asked Nov 18, 2016 at 8:47

1 vote

2 answers

322 views

ε is preassigned, choosen or given in the (ε, δ)-definition of limit?

asked Nov 18, 2016 at 16:45

1 vote

6 answers

103 views

proof problem on proving $x_{1}=1,x_{n+1}=\frac{1}{2}\left(x_{n}+\frac{2}{x_{n}}\right)$ has a limit

asked Jun 9, 2017 at 9:17

1 vote

2 answers

156 views

prove the L’Hospitals rule without Cauchy's Mean Value Theorem

asked Jan 20, 2019 at 15:13

Stack Exchange Network

56 Questions

Does $1.0000000000\cdots 1$ with an infinite number of $0$ in it exist?

What is the length of a point on the real number line?

Is $0$ an Infinitesimal?

The numerical relation of the sum of two divergence series

mathematics was recreated on a foundation of number concepts rather than geometrical ones

Understanding of the formal and intuitive definition of a limit

Why Cauchy's definition of infinitesimal is not widely used?

one to one correspondance between points on the number axis and real numbers

The axiomatic method to real number system VS the constructive method(genetic method)

the definition of irrational numbers and the proof of Cauchy's theorem

the need for the formal definition of a limit [duplicate]

"one-to-one correspondence"(bijection) and the size of two infinite sets

is it possible for $\dfrac {1} {x} $ to be smaller than every positive real number but still bigger than $0$?

what makes the number continuum a necessity in Calculus? [closed]

The length of a gap between the rationals

which number corresponds to the right endpoint of line segment [0,1)?

were Irrational numbers discovered at Archimedes's age?

axiom of continuity guarantees no gaps exist on the real axis?

Does $\frac{1}{x}=0$ have a solution?

The cardinality of the even numbers is half of the cardinality of the natural numbers? [duplicate]

explain why ${\left(\frac{{1}}{{2}}\right)}^{\infty}=0$

$1/\infty$ is zero or infinitesimal? [closed]

The length of a point and the interval

why we require ƒ(x) be defined on an open interval about $x_0$?

Finding the fallacy in this wrong limit computing result

question about proof of L’Hôpital’s Rule

for all and for every , what's wrong with this simple contradiction?

ε is preassigned, choosen or given in the (ε, δ)-definition of limit?

proof problem on proving $x_{1}=1,x_{n+1}=\frac{1}{2}\left(x_{n}+\frac{2}{x_{n}}\right)$ has a limit

prove the L’Hospitals rule without Cauchy's Mean Value Theorem