Question

The function $f\left(x\right)=\left[x\right]$, where $\left[x\right]$ denotes greatest integer function is continuous at ___

• A. $4$
• B. $-2$
• C. $1$
• D. $1.5$

Answer 1

The correct option is D $1.5$

The function $f\left(x\right)=\left[x\right]$ is continuous for all $x$ except all integral values of $x$

Hence it is continuous at $x=1.5$, which is not an integer.