New post in Continuity

Revisit "Prove that the inverse image of an open set is open"

January 17th, 2023

Show that $f(x)=3x^{2}-2x+1$ is continuous at 2

August 16th, 2022

Why is $f(x) = \sqrt{x}$ is continuous at $x=0$? Does $\lim_{x \to 0^{-}} \sqrt{x}$ exist?

August 16th, 2022

Prove that a sum of continuous functions is continuous

October 23rd, 2022

Find interval in which function is continuous.

October 30th, 2022

Examples of unbounded continuous function $f:Q\cap[0,1]\rightarrow R$

September 17th, 2022

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

Use continuity to evaluate the limit.

August 1st, 2022

How's g(x) = sin(x)/x removal discontinuity?

February 22nd, 2021

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

Choose constants a and b so that the function is continuous everywhere!

April 6th, 2020

Use the definition of continuity to prove a function is defined at every nonnegative real number

October 29th, 2020

How to find the average value of a discontinuous function

June 23rd, 2020

Finding the maxima without second derivative test

August 1st, 2022

How to show map is non-singular

February 10th, 2020

The points where function is discontinuous,are those points counted/considered in the domain of the function.

August 1st, 2022

How to find E(x) and Var(x) in this specific continuous probability distribution.

July 23rd, 2020

How to use graph to determine where f(x) > 0 and f(x) < 0

August 1st, 2022

Proving continuity of composition of continuous functions

October 18th, 2020

Apply the mean value theorem to find the largest possible value of $f(7)$

January 13th, 2020

continuous function from $\mathbb{Q}$ to $\mathbb{R}$

May 11th, 2020

When can a function be said to be bounded

August 1st, 2022

Show that the function $f$ is attain its minimum or maximum value and bounded on $\mathbb R$

January 14th, 2020

How to draw the graph of f(x)= [sin x] + [sin 2x]

August 1st, 2022

One-to-one functions on a closed interval

August 1st, 2022

How to find the removeable or infinite discontinuity of any rational function without the factoring of the polynomial?

May 3rd, 2020

Epsilon delta definition: $\lim _{x\to-2} (2x^2+5x+3)=1$

August 1st, 2022

Derivative inequality for a twice continuously differentiable function.

August 1st, 2022

Show that $\cos(1 / x)$ cannot be continuously extended to $0$

April 8th, 2020

prove that $f$ is continuous on $A$ if and only if $f^{-1}(V)$is open in $\Bbb R^n$ for every open subset $V$ of $\Bbb R^m$

August 1st, 2022