New posts in Monotone Functions

To show a sequence is bounded, monotone and to find its limit

Find all $x\in\mathbb{R}$ such that $\left( \sqrt{2-\sqrt{2} }\right)^x+\left( \sqrt{2+\sqrt{2} }\right)^x=2^x$.

Is there a real-analytic monotone function $f:(0,\infty) \to \mathbb{R}$ which vanishes at infinity, but whose derivative admits no limit?

Is the derivative always nonnegative in a neighbourhood of a minimum?

If $f$ increasing, analytic on $\mathbb{R}$ and $\lim_{x\to +\infty}f(x)=1$, does it follows that $\lim_{x\to +\infty}f'(x)=0$?

Strictly increasing function from $\mathbb{R}$ into $\mathbb{R}\backslash\mathbb{Q}$

A question about the definition of a strictly increasing function

Defining an Antiderivative for Monotone Functions

Prove that $\left ( 1+\frac{n^{\frac{1}{n}}}{n} \right )^\frac{1}{n}+\left ( 1-\frac{n^{\frac{1}{n}}}{n} \right )^\frac{1}{n}<2$

How to generalize this version of Tarski’s Fixed Point Theorem?