Question

$\underset{x\to 2+}{lim}\left\{\right[2-x]+[x-2\left]\right\}=?;\left(\right[x]$ is greatest integer function)

• A. 0
• B. -1
• C. 1
• D. does not exist

Answer 1

The correct option is B -1

Take $x=2+h$ Put them in question
where $h\to 0$
$\Rightarrow [2-(2+h)]+[(2+h)-2]$
$\Rightarrow [-h]+\left[h\right]$
$\downarrow$ $\downarrow$
-1 + 0