Which function is continuous at but NOT differentiable there?

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Which function is continuous at

x=0

but NOT differentiable there? (a)

g(x)=\dfrac{1}{x}

(b)

h(x)=x^{2}

(c)

f(x)=|x|

(d)

k(x)=|x|^{3}