New posts in Limits

Limit $\lim _{x \to 0}\sqrt {x+\sqrt {x+\sqrt{x+\sqrt{x...}}}}=1$

Why $\lim_{\varepsilon \to 0} \varepsilon \int_0^\infty \frac{z\,dz}{(z-1)^2 + \varepsilon^2z^3} = \pi$?

Why does $\frac{|\sin\theta|}{2}<\frac{|\theta|}{2}<\frac{|\tan\theta|}{2}$ not imply that $1>\lim_{\theta\to 0}\frac{\sin\theta}{\theta}>1$?

Proof that $\lim_{n\to\infty}\left(1+\frac{x^2}{n^2}\right)^{\frac{n}{2}}=1$ without L'Hospital

limit related to the Lambert function

Which is greater $\frac{13}{32}$ or $\ln \left(\frac{3}{2}\right)$

Limit $\lim_{n\to \infty} \frac{1}{n^{n+1}}\sum_{k=1}^n k^p$

Is there a real-analytic monotone function $f:(0,\infty) \to \mathbb{R}$ which vanishes at infinity, but whose derivative admits no limit?

How do concepts such as limits work in probability theory, as opposed to calculus?

Can this function be defined in a way to make it continuous at $x=0$?