New posts in Limits

Find $\lim\limits_{n \to \infty} \int_0^1 \sqrt[n]{x^n+(1-x)^n} \,dx$.

Calculate $\sum_{i=2}^{∞} i\,\frac{\operatorname{fib}(i-1)}{2^i}$

Simple recurrences converging to $\log 2, \pi, e, \sqrt{2}$ and so on

Is $\sqrt{x}$ continuous at $0$?

Find $\lim_{x\rightarrow 0}x^{x^{x^x}}$

If $\lim_{x\to 0}{f(x)} = \lim_{x\to 0}{g(x)}=0$, then is $\lim_{x\to 0}\frac{\sin f(x)}{g(x)}= \lim_{x\to 0}\frac {f(x)} {g(x)}$?

Limit as $y\to x$ of $(\sin y-\sin x)/(y-x)$ without L’Hospital

The monster continued fraction.

evaluation of Trigonometric limit

Limit of $\ln^2(x+1)-\ln^2(x)$ at infinity