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Statement 1: A function \[f:R\to R\] is continuous at \[{{x}_{0}}\]if and only if \[\underset{x\to {{x}_{0}}}{\mathop{\lim }}\,f(x)\] exists and \[\underset{x\to {{x}_{0}}}{\mathop{\lim }}\,f\left( x \right)=f\left( {{x}_{0}} \right)\] Statement 2: A function \[f:R\to R\] is discontinuous at \[{{x}_{0}}\] if and only if,\[\underset{x\to {{x}_{0}}}{\mathop{\lim }}\,f\left( x \right)\]exists and \[\underset{x\to {{x}_{0}}}{\mathop{\lim }}\,f\left( x \right)\ne f\left( {{x}_{0}} \right).\]     JEE Main Online Paper (Held On 12 May 2012)

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.