Statement 1: A function $$f: R \to R$$ is continuous at $$x_0$$ if and only if $$\lim_{x \to x_0} f(x)$$ exists and $$\lim_{x \to x_0} f(x) = f(x_0)$$. Statement 2: A function $$f: R \to R$$ is discontinuous at $$x_0$$ if and only if, $$\lim_{x \to x_0} f(x)$$ exists and $$\lim_{x \to x_0} f(x) \ne f(x_0)$$.

A

Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation of Statement 1.

B

Statement 1 is false, Statement 2 is true.

C

Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation of Statement 1.

D

Statement 1 is true, Statement 2 is false.