Let . Choose the correct statement about at…

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Let

g(x)=\begin{cases}\sin x,&x\neq0\\0,&x=0\end{cases}

. Choose the correct statement about

g

x=0

. (a)

g

has a removable discontinuity at

x=0

(b)

g

is continuous at

x=0

(c)

g

is continuous but not differentiable at

x=0

(d)

g

is not defined at

x=0