Question

$\underset{x\to 1}{\lim }[x-1]$, where $[.]$ is greatest integer function, is equal to

• A. 1
• B. 2
• C. 0
• D. does not exist

Answer 1

Answer: (D)

Since, $RHL=\underset{x\to 1^{+}}{\lim }[x-1]=0$
and $LHL=\underset{x\to 1^{-}}{\lim }[x-1]=-1$
Hence, at $x=1$ limit does not exist.