Question

Assertion :Statement-1: $f\left(x\right)=\frac{1}{\left\{x\right\}}$ is discontinuous for integral values of $x$, where {} denotes the fractional part function. Reason: Statement-2: For integral values of $x$, $f\left(x\right)$ is not defined.

• A. Statement-1 is true, Statement-2 is true and Statement-2 is correct explanation for Statement-1.
• B. Statement-1 is true, Statement-2 is true and Statement-2 is NOT the correct explanation for Statement-1.
• C. Statement-1 is true, Statement-2 is false.
• D. Statement-1 is false, Statement-2 is true.

Answer 1

The correct option is A Statement-1 is true, Statement-2 is true and Statement-2 is correct explanation for Statement-1.

For integral values of $x$, the fractional part is $0$. So, $f\left(x\right)=\frac{1}{\left\{x\right\}}$ is not defined.