Question

The function of $f\left(x\right)=\left[x\right]$ where $\left[x\right]$ the greatest integer function is continuous at

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

Answer 1

The correct option is A $1.5$

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.