A) \[f(x)\]is continuous and differentiable for all \[x\]in its domain
B) \[f(x)\]is continuous for all\[x\]in its domain but not differentiable at\[x=\pm 1\]
C) \[f(x)\]is neither continuous nor differentiable at\[x=\pm 1\]
D) None of the above
Correct Answer: B
Solution :
From the graph of\[f(x)=|\log |x||\]is clear that\[f(x)\]is everywhere continuous but not differentiable at\[x=\pm 1\].
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