Mathematics

Mathematics

Problem

Let

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

. Choose the correct statement about

g

at

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

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