f(x) = x +[x], x in Z, is f(x) continuous at x =0 ?
How to interpret [x], the books says in the answer section that R.H limit is 0 and L.H limit is -1.
Can anyone tell me how this was solved.
Use:
$\displaystyle [x]=\begin{Bmatrix} -1 & \mbox{ if }& -1<x<0\\\;\;0 & \mbox{if}&\;\; 0\leq x <1\end{matrix}$
Fernando Revilla