MCQ
Statement $1$ : A function $f:R \to R$ is continuous at $x_0$ if and only if $\mathop {\lim }\limits_{x \to {x_0}} \,f\left( x \right)$ exists and $\mathop {\lim }\limits_{x \to {x_0}} \,f\left( x \right) = f\left( {{x_0}} \right)$
Statement $2$ : A function $f : R \to R$ is discontinuous at $x_0$ if and only if, $\mathop {\lim }\limits_{x \to {x_0}} \,f\left( x \right)$ exists and $\mathop {\lim }\limits_{x \to {x_0}} \,f\left( x \right) \ne f\left( {{x_0}} \right)$
- AStatement $1$ is true, Statement $2$ is true,Statement $2$ is not a correct explanation of Statement $1$
- BStatement $1$ is false, Statement $2$ is true
- CStatement $1$ is true, Statement $2$ is true,Statement $2$ is a correct explanation of Statement $1$
- ✓Statement $1$ is true, Statement $2$ is false