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Continuity of $g(\theta) = \frac{1}{2\pi^2\theta^3}-\frac{\pi}{2}\cot(\pi\theta)\csc^2(\pi\theta)$ at $\theta=0$

Nowhere continuous functions $f: \mathbb{R} \to \mathbb{R}$ such that $f\bigl(f(x)\bigr) = \frac{f(2x)}{2}$ [closed]

Differentiability on $\mathbb{R}^n$ under an equivalence relation.

A problem on continuous functions

Prove function is not differentiable even though all directional derivatives exist and it is continuous.

If there exist sequence such that $g(x_n)=f(x_{n+1})$, then we have $g(x_0)=f(x_0)$ for some $x_0$

If $f: \Bbb{R}\rightarrow\Bbb{R}$ is continuous at $0$ and $f(x)=f(2x)$ for each $x\in\Bbb{R}$ then $f$ is constant.

Characterization of continuous functions with the property $f(x) = f\left(\frac{x}{1-x}\right)$ [closed]

Do all continuous functions have antiderivatives?

$f$ continuous s.t $|f|$ increasing and $|f|\le x$ then $f$ unifrmly continuous

Proving a sequence is bounded under given conditions

Is $f(x,y)=\frac{xy^2}{x^2 + y^2}$ with $f(0,0)=0$ continuous at $(0,0)$?

Is there a way to avoid uniform convergence in Urysohn's extension theorem?

How to use Bezier curve to model one to one functions?

$f$ function with $\nabla f=\bar{0}$

Question on the continuity of a certain kind of evaluation map

New posts in continuity

Continuity of Un-plottable Piece-wise Defined Function

Let $f$ be a bounded, continuous function such that $f(t+17) = f(t)$ for all $t$

Continuity between metric d with respect to product topology

Linear functional $f$ is continuous at $x_0=0$ if and only if $f$ is continuous $\forall x\in X$?

Continuity of $g(\theta) = \frac{1}{2\pi^2\theta^3}-\frac{\pi}{2}\cot(\pi\theta)\csc^2(\pi\theta)$ at $\theta=0$

Nowhere continuous functions $f: \mathbb{R} \to \mathbb{R}$ such that $f\bigl(f(x)\bigr) = \frac{f(2x)}{2}$ [closed]

Differentiability on $\mathbb{R}^n$ under an equivalence relation.

A problem on continuous functions

Prove function is not differentiable even though all directional derivatives exist and it is continuous.

If there exist sequence such that $g(x_n)=f(x_{n+1})$, then we have $g(x_0)=f(x_0)$ for some $x_0$

If $f: \Bbb{R}\rightarrow\Bbb{R}$ is continuous at $0$ and $f(x)=f(2x)$ for each $x\in\Bbb{R}$ then $f$ is constant.

Characterization of continuous functions with the property $f(x) = f\left(\frac{x}{1-x}\right)$ [closed]

Do all continuous functions have antiderivatives?

$f$ continuous s.t $|f|$ increasing and $|f|\le x$ then $f$ unifrmly continuous

Proving a sequence is bounded under given conditions

Is $f(x,y)=\frac{xy^2}{x^2 + y^2}$ with $f(0,0)=0$ continuous at $(0,0)$?

Is there a way to avoid uniform convergence in Urysohn's extension theorem?

How to use Bezier curve to model one to one functions?

$f$ function with $\nabla f=\bar{0}$

Question on the continuity of a certain kind of evaluation map