Newbetuts

Determine whether piecewise function is continuous, differentiable, has removable discontinuity or non-removable?

Finding the roots of the unknown function

Find $f(f(\cdots f(x)))=p(x)$

$ \sum\limits_{i=1}^{p-1} \Bigl( \Bigl\lfloor{\frac{2i^{2}}{p}\Bigr\rfloor}-2\Bigl\lfloor{\frac{i^{2}}{p}\Bigr\rfloor}\Bigr)= \frac{p-1}{2}$

$f=\underset{+\infty}{\mathcal{O}}\bigr(f''\bigl)$ implies that $f=\underset{+\infty}{\mathcal{O}}\bigr(f'\bigl)$.

Drawing by lifting pencil from paper can still beget continuous function.

Suppose a function $f : \mathbb{R}\rightarrow \mathbb{R}$ satisfies $f(f(f(x)))=x$ for all $x$ belonging to $\mathbb{R}$.

Is it incorrect to substitute the expression of a function by the expression of it's asymptote in a limit to infinity?

Proof for inequality with absolute values: $\frac{|x+y|}{1+|x+y|} \leq \frac{|x|}{1+|x|} + \frac{|y|}{1+|y|}$

Is there a name for the operation $f^{-1}(f(x) \oplus f(y))$?

Weierstrass factorization of sine, and related questions

Is my sequence its own inverse?

Finding all functions $f: \mathbb{Z^{+}}\to \mathbb{Z^{+}}$ such that $f(a)| (f(b)+a-b)$ for all $a,b\in \mathbb{Z^{+}}$

What is the corresponding infinite series for this infinite infinite product?

Is there an error in this AP Calculus quiz on function transformations?

What is a function to represent a diagonal sine wave?

Types of polynomial functions. Quadratic, cubic, quartic, quintic, ...,?

New posts in functions

Definition of "descends to"

Show $f:\mathbb{R}^2 \rightarrow \mathbb{R}^{2}, f(x,y) = (x-y, x^2-y^2)$ [closed]

Is there such a function?

Determine whether piecewise function is continuous, differentiable, has removable discontinuity or non-removable?

Finding the roots of the unknown function

Find $f(f(\cdots f(x)))=p(x)$

$ \sum\limits_{i=1}^{p-1} \Bigl( \Bigl\lfloor{\frac{2i^{2}}{p}\Bigr\rfloor}-2\Bigl\lfloor{\frac{i^{2}}{p}\Bigr\rfloor}\Bigr)= \frac{p-1}{2}$

$f=\underset{+\infty}{\mathcal{O}}\bigr(f''\bigl)$ implies that $f=\underset{+\infty}{\mathcal{O}}\bigr(f'\bigl)$.

Drawing by lifting pencil from paper can still beget continuous function.

Suppose a function $f : \mathbb{R}\rightarrow \mathbb{R}$ satisfies $f(f(f(x)))=x$ for all $x$ belonging to $\mathbb{R}$.

Is it incorrect to substitute the expression of a function by the expression of it's asymptote in a limit to infinity?

Proof for inequality with absolute values: $\frac{|x+y|}{1+|x+y|} \leq \frac{|x|}{1+|x|} + \frac{|y|}{1+|y|}$

Is there a name for the operation $f^{-1}(f(x) \oplus f(y))$?

Weierstrass factorization of sine, and related questions

Is my sequence its own inverse?

Finding all functions $f: \mathbb{Z^{+}}\to \mathbb{Z^{+}}$ such that $f(a)| (f(b)+a-b)$ for all $a,b\in \mathbb{Z^{+}}$

What is the corresponding infinite series for this infinite infinite product?

Is there an error in this AP Calculus quiz on function transformations?

What is a function to represent a diagonal sine wave?

Types of polynomial functions. Quadratic, cubic, quartic, quintic, ...,?