New posts in Real Analysis

Follow-up Question about Cesaro mean proof

How to complete this proof process of Arzelà-Ascoli theorem?

Given $z^{z^x}=x$, estimate $\frac{dx}{dz}$

How to find a real sequence $x_n$ such that $n x_n \to 0$ as $n \to \infty$ and $\sum_{n=1}^{\infty} x_n$ diverges?

Evaluate $\int \frac{\left(x^2+x+3\right)\left(x^3+7\right)}{x+1}dx$.

Analyse convergence of: $\displaystyle \sum^{\infty}_{n=3} \left (\sqrt[3]{n^3 + 2} - \sqrt{n^2 + 7}\right)$

The converse problem about duality of $L^p$

Proving $\prod_{n=1}^{\infty}\left(1+\frac{1}{n^{3}}\right)=\frac{1}{\pi}\cosh\frac{\pi\sqrt{3}}{2}$

Right versus left derivative by increasing one-sided derivatives

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