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The function f(x) = |x| at x = 0 is
Adiscontinuous and non-differentiable
Bdifferentiable but not continuous
Ccontinuous and differentiable
Dcontinuous but not differentiable
Answer & Solution
Correct answer: D. continuous but not differentiable
The left slope is -1 and the right slope is 1, so the derivative at 0 does not exist, though |x| is continuous.
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