Math Chapter Wise Limit, Continuity And Differentiability Of Function Of One Variable English MCQ PGT 2005 Q.If f(x) is defined as f(x) = x2 1 sin, x x ≠ 0 f(0)= 0 then A0 lim () → x f x does not exist B0 lim () → x f x exists but f '(0) does not exist C0 lim () → x f x and f '(0) both exist Df '(x) is continuous at x = 0 Show answer Correct answer: 0 lim () → x f x and f '(0) both exist