1) Let f be the function defined by f(x) = {x2−1x2−2|x−1|−1x≠11/2x=1 A) The function is continuous for all values of x B) The function is continuous only for x > 1 C) The function is continuous at x=1 D) The function is not continuous at x =1 Answer: Option DExplanation:For x< 1, f(x) = x2−1x2+2x−3 = x+1x+3 .'. limx→1−f(x) = 1/2 For x>1, f(x) = x2−1x2−2x+1=x+1x−1 .'. limx→1+ f(x) = ∞ .'. the function is not continuous at x= 1