Q72 / 150 · MHT CET 2020 (16 Oct Shift 2) · Mathematics

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

  • A
    continuous but not differentiable at $x=0$
  • B
    differentiable but not continuous at $x=0$
  • Correct answer
    C
    neither continuous nor differentiable at $x=0$
  • D
    continuous and differentiable at $x=0$

Solution

$f(x)=\left\{\begin{array}{cc} 1 & x>0 \\ -1 & x < 0 \\ 1 & x=0 \end{array}\right.$ So function discontinuous and non differentiable

Hence, the correct answer is option: 'C'.

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