New posts in Real Numbers

Can you expand induction proofs to the real numbers?

Given $n+1$ points, bound the product of the distances from one of them

Is $\lim_{x\to\infty} (0.99999...)^x=1$?

$a + bp^\frac{1}{3} + cp^\frac{2}{3} = 0$

What is a condition for two real functions $f,g$ to "commute", so $f(g(x))=g(f(x))$?

Is it true that $\prod_{i=1}^n\left(3 + \frac{1}{3i}\right) < \left(3 + \frac{1}{n}\right)^n$?

Is that possible to partition $(\Bbb R,+)$ into 4 additively closed subsets?

The derivative $\frac{\mathrm d}{\mathrm dx} x^x=x^x\left(\ln x+1\right)$ is problematic for $x<0$

Prove that $-\sqrt{c}<ab<0$ if $a^4-2019a=b^4-2019b=c$.

Is there an "algebraic" way to construct the reals?