New posts in Real Analysis

Real Mathematical Analysis Prelim problem 4.60

Proving infinite intersection has only one point

What do we actually rotate with rotational matrices

Existence of periodic solution in an ODE system

$ \sum_{n=1}^{\infty} \frac{f(n)}{n^2} < +\infty$

Comparison test for $\sum_{n=1}^{\infty} \frac{\sqrt{n^5 + n^3 - n}}{2n^3 + 3n^2 + 1}$

Can the idea of a 'function of a variable' be made rigorous?

How to prove this lower bound on $\log(1+x)$ for $x \geq 0$? How about $x > -1$?

Find the sum: $\sum_{n=0}^\infty \frac{(n!)^2}{(2n)!}x^n$

Riemann-Stieltjes integral of a continuous function w.r.t. a step function