1. ## Continuity and Differentiability

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.

2. Originally Posted by kumaran5555
f(x) = x +[x], x in Z, is f(x) continuous at x =0 ?
Use:

$[x]=\begin{Bmatrix} -1 & \mbox{ if }& -1

Fernando Revilla