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MHT CET202016 Oct 2020Evening ShiftMathematicsContinuity and DifferentiabilityActual

If f(x)=|x|/x for x≠0 and 1 for X=0, then the function is

Options

  1. Acontinuous but not differentiable at x=0
  2. Bdifferentiable but not continuous at x=0
  3. Cneither continuous nor differentiable at x=0
  4. Dcontinuous and differentiable at x=0

Correct answer

C. neither continuous nor differentiable at x=0

Step-by-step solution

f(x)= array cc 1 & x>0 -1 & x < 0 1 & x=0 array . So function discontinuous and non differentiable

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