New posts in Real Analysis

Showing the sequence $\sqrt{2}, \sqrt{2\sqrt{2}}, \sqrt{2\sqrt{2\sqrt{2}}}, \dots$ tends to $2$ using the Epsilon-Neighbourhood definition

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

Why should we care about sequence in real analysis?

Show that $f$ is bijective.

Number of roots of the equation $f(xf(x)) = \sqrt{9 - x^2f^2(x)}$

If $f$ is uniformly continuous on the dense set $E \subset X$ then a continuous extension of $f$ exists on $X$.

What is $\lim_{x \to \infty} \frac{\sin x}{\sin x}?$

Is there a closed form for this recursion equation?

How to find $\operatorname{P.V.}\int_0^1 \frac{1}{x (1-x)}\arctan \left(\frac{8 x^2-4 x^3+14 x-8}{2 x^4-3 x^3-11 x^2+16 x+16}\right) \textrm{d}x$?

Prove $\sqrt{x_1^2+4x_1x_2+5x_2^2+2x_1+6x_2+5}$ is convex