New posts in functions

Counterexample for a non-measurable function?

measure-theory functions examples-counterexamples

$f(x+1)-f(x)$ converges $\Rightarrow\frac{f(x)}x$ converges

functions convergence-divergence

Functions with different codomain the same according to my book?

functions elementary-set-theory definition

Find all functions $f(x+y)=f(x^{2}+y^{2})$ for positive $x,y$

analysis functions contest-math functional-equations

Is the empty function differentiable?

calculus real-analysis functions differential-topology

If $f(x)<g(x)$ prove that $\lim f(x)<\lim g(x)$

analysis limits functions

Finding the range of given function

algebra-precalculus functions

What should the limit of a function be at isolated points?

limits functions

Find a unit normal vector at a point

functions vectors graphing-functions tangent-line

Can $f(\infty)$ be defined if the sequence $f(n)$ is divergent?

functions infinity

What's the difference between arccos(x) and sec(x)

functions trigonometry inverse

Is there a continuous function $f(x)$ such that the inverse function is $1/f(x)$?

Why can you find the roots a of polynomial by factoring it?

algebra-precalculus functions polynomials roots

Does $f\colon x\mapsto 2x+3$ mean the same thing as $f(x)=2x+3$?

functions notation inverse-function

How to explain the perpendicularity of two lines to a High School student?

functions graphing-functions education

Abusing mathematical notation, are these examples of abuse?

abstract-algebra group-theory functions notation definition

Trigonometric Function variables

algebra-precalculus functions trigonometry change-of-variable

Solutions to $\frac1{\lfloor x\rfloor}+\frac1{\lfloor 2x\rfloor}=\{x\}+\frac13$

calculus number-theory functions ceiling-and-floor-functions

Solutions of $a^{a^x}=x$ for fixed $a>0$

functions exponentiation lambert-w tetration power-towers

Addition formula for $f_n(x+y)$ in closed form.

reference-request ordinary-differential-equations functions closed-form