Consider the function $f(x)=|x|$ in the interval $-1 \leq x \leq 1$. At the point $x=0, f(x)$ is

(A) continuous and differentiable.

(B) non-continuous and differentiable.

(C) continuous and non-differentiable.

(D) neither continuous nor differentiable.

Consider the function $f(x)=|x|$ in the interval $-1 \leq x \leq 1$. At the point $x=0, f(x)$ is

(A) continuous and differentiable.

(B) non-continuous and differentiable.

(C) continuous and non-differentiable.

(D) neither continuous nor differentiable.

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