New posts in Limsup And Liminf

Why does the limit definition of e fail?

If $\lim A_n$ exists, then $P(\lim A_n) = \lim P(A_n)$

Is there a sequence $x_n\to+\infty$ such that $\liminf x_{2n}/x_n = 0$?

Prove that $A_n \cap B_n \rightarrow A \cap B$

A seemingly true claim?

Limit of a power series in $\beta$ multiplied by $(1 - \beta)$

Correctly reading this $\lim \inf ()$ and $\lim \sup()$ expression?

Stuck at proving whether the sequence is convergent or not

Evaluating $\liminf_{n\to\infty}n\{n\sqrt2\}$

Show that there is a continuous real function $h$ on $[0,1]$ such that $\lim \sup |\frac{h(x+t)-h(x)}{t}| = \infty$ for all $x \in [0,1)$