MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability
Problem
Let f(x)=∣x∣ and define g(x)=x2f(x). Which of the following describes the behavior of g at x=0?
(a) g is continuous but not differentiable at x=0.
(b) g has a corner at x=0.
(c) g is differentiable at x=0.
(d) g is not continuous at x=0.