Finding limsup and liminf for odd and even $A_n$

588 Views Asked by At

I am trying to understand $\limsup$ and $\liminf$. I have this homework problem: For each natural number $n$, let $A_n=[0,1]$ if $n$ is odd, and $A_n=[1,2]$ if $n$ is even. Find both $\limsup_{n\to\infty}A_n$ and $\liminf_{n\to\infty}A_n$.