New post in Real-analysis

The discrete metric on $\mathbb R $ is not induced by a norm

December 5th, 2022

Does countably infinite number of zeros add to zero?

July 23rd, 2022

Consider the following map:

October 24th, 2022

inductive set and examples

July 22nd, 2022

the $\sigma$ algeba generated by the class of open intervals with rational end points coincide with the borel $\sigma$ algebra on the real line.

September 29th, 2022

Is the sequence $\{1/n^2\}$ Cauchy?

August 1st, 2022

Supremum and infimum of $\frac{x}{\sin x}$ on $\left[0,\frac{\pi}{2}\right]$

November 12th, 2020

Find a seven digit number which describes itself

August 1st, 2022

Functions and trig question, finding minimum value

August 1st, 2022

Proof of the intersection of boundary of a set and a connected set is nonempty

December 15th, 2020

Show that $\arctan(x)$ exists and is differentiable in $(-\pi/2, \pi/2)$

August 1st, 2022

Baby Rudin Chapter 4 Exercise Questions 5 and 6

August 1st, 2022

The supremum and infimum of the sequence $\{(-1)^n/n^2\}$.

November 20th, 2020

Examples where Rolle's Theorem fails for following

August 1st, 2022

$\sin(1/x)$ is not BV.

April 28th, 2020

Real Analysis: Prove every unbounded sequence contains a divergent monotone subsequence

December 15th, 2020

If f and g are uniformly continuous then fg is uniformly continuous

November 8th, 2020

Prove that $\int_0^\infty e^{-x^4}\ dx = \Gamma\left(\frac{5}{4}\right) = \left(\frac{1}{4}\right)!$ using the gamma function

May 9th, 2020

Examples of a strongly continuous function and a weakly continuous function.

August 1st, 2022

Proving that the integrals of two functions are the same if they are equal everywhere except a point

August 1st, 2022

Continuous function: $ Z=${$x \in \mathbb{R} : f(x) = 0$} is closed

November 8th, 2020

Proving Riemann Sums via Analysis

July 2nd, 2020

Double sequence, two sequences converge, but to different limits?

February 1st, 2020

Why is every continuous function on the reals determined by its value on rationals?

August 1st, 2022

Is a uniformly continuous functions bounded?

August 1st, 2022

What is the mathematical symbol for the sum of numbers

August 1st, 2022

Compactness, why is $(0,1)$ not compact? I need the "thought process"

April 29th, 2020

Condition for Implicit Function Theorem

September 30th, 2020

Find infinite collection of open sets in $\Bbb R$ whose intersection is open and nonempty

September 26th, 2020

Find the points of discontinuity of $ f(x) =\frac{e^x-1}{\log_{e}(1+2x)}$ if $x\ne0$ and $f(0)=7$

August 1st, 2022