A function f(x) is defined as follows for real f(x)= \{\table 1-x^2, \text{ for } x< 1 ;0, \text{ for } x=1; 1+x^2, \text{ for } x>1 The

Correct Answer is : f(x) is not continuous at x=1

f(x) is continuous but not differentiable at x=1

f(x) is both continuous and differentiable x=1