New post in Uniform-continuity

Prove that sinx/x uniformly continuous at x [1; infinity) by using epsilon delta

August 1st, 2022

Show $f$ is continuous at $(0,0)$ if $f(x,y) = \frac{x^3\sin(x+y) - y^4\ln(x^2+y^2)}{x^2+y^2}$ for $(x,y) \neq (0,0)$ and $f(0,0)=0$

January 24th, 2020

Example of a continuous function which is not uniformly continuous at a given interval.

December 6th, 2020

Prove that the function $f(z) = \frac{1}{1-z}$ is not uniformly continuous on $(-1,1)$

February 8th, 2020

Showing $\tan x$ is uniformly continuous in $[0,\pi/4]$

March 14th, 2020

Uniform continuity of functions of a complex variable

February 22nd, 2020

Proving $\frac{1}{ x^2}$ is not uniformly continuous on $(0,2]$

August 1st, 2022

f(x)=cos(x^2) is not uniformly continuous

August 1st, 2022

An MCQ question on continuity.

December 13th, 2020

Prove $f_n (x) := n \sin (\frac{x}{n})$ is equicontinuous

August 1st, 2022

Tips for proving a $f(x)$ is not uniformly continuous

August 1st, 2022

Prove directly from definition that $\tan(x)$ is not uniformly continuous on $(-\pi/2, \pi/2)$

August 1st, 2022

Compact Space: Locally Continuous $\implies$ Uniformly Continuous

June 11th, 2020

Prove that $f(x)=x\sin(x)$ is not a uniformly continuous function

August 1st, 2022

Show that the cumulative distribution function is uniformly continuous.

September 27th, 2020

Hölder continuous functions are uniformly continuous

April 24th, 2020

Uniform continuity of continuous periodic function

August 1st, 2022

Proving uniform continuity of absolute value

April 14th, 2020

Proving $1\over x^2$ is not uniformly continuous

February 10th, 2020

Proving that the exponential function is not uniformly continuous

March 7th, 2020

Prove that a monotonic bounded function is uniformly continuous

January 14th, 2020

Is $f(x)=\frac{1}{x^2+1}$ uniformly continuous on $\mathbb{R}$?

August 1st, 2022

Prove that if $f$ and $g$ are uniformly continuous on A and are both bounded on A, then $fg$ is uniformly continuous on A.

March 28th, 2020

continuous bounded function on the bounded open interval ]a,b[ that is not uniformly continuous on ]a,b[

August 19th, 2020

How to show that "Uniformly continuous implies continuous"?

February 5th, 2020

Prove that $\ln x$ is not uniformly continuous on $(0,1]$

February 6th, 2020

If a sequence $(f_n)$ do not converge uniformly, then no subsequence of $(f_n)$ converge uniformly

March 5th, 2020

two functions are uniformly continuous on some interval I and each is bounded on I then their product is also uniformly continuous on I .

August 19th, 2020

$f(x)$ is continuous on $(a,b)$ such that $f(a)f(b) < 0$. Show the existence of $c$ element of $(a,b)$ such that $f(c) = 0$

August 1st, 2022

Is $\cos\sqrt{xy}$ uniformly continuous?

August 1st, 2022