New posts in Limits

On Ramanujan's approximation, $n!\sim \sqrt{\pi}\big(\frac ne\big)^n\sqrt [6]{(2n)^3+(2n)^2+n+\frac 1{30}}$

Proof that $\pi =\lim_{n\to\infty}\frac{2^{4n}n!^4}{n(2n)!^2}$

Cubic roots and difference of cubes in limits $\lim\limits_{n\to\infty} (\sqrt[3]{n^6-6n^4+1} - n^2)$

Why is it incorrect to say, $\lim_{x\rightarrow a}f(x)\notin\mathbb{C}$?

Proof that the roots of $\mathrm e^{-πx}=\sin πx$ approach integers as $x\to \infty$

Compute $\lim \limits_{n\to \infty} \int_3^4 (-x^2+6x-8)^\frac{n}{2} dx$

Computing $\lim_{n \to \infty} \left[\left(\prod_{i=1}^{n}i!\right)^{1\over n^{2}} (n^{x})\right] $ if exists for certain $x\in\mathbb R$

Limit of an accumulation function(integral involved)

How many times must I apply L’Hopital?

A Problem Of Convergence