New posts in Limsup And Liminf

Does an integral inequality imply a pointwise inequality?

$\liminf, \limsup$ and continuous functions

Is it true that $ \limsup_{T\to0+}F(0,t)=\lim_{T\to0+}\left[\sup_{0\le s<t\le T}F(s,t)\right]$?

How to deal with lim sup and lim inf?

Infinite Union/Intersection vs Infinite summation

Showing that two definitions of $\limsup$ are equivalent

limsup of average smaller than limsup

Proving the Kochen-Stone lemma using the Paley-Zygmund inequality

Prove that subsequence converges to limsup

Can someone clearly explain about the lim sup and lim inf?