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ExamsJEE MainGeneral

Let f : [–1, 3] → R be defined as ⎪ ⎩ ⎪ ⎨ ⎧ ≤ ≤ + < ≤ + < ≤ − + = 3 x 2 , ] x [ x 2 x 1 , | x | x 1 x 1 , ] x [ | x | ) x ( f Where [t] denotes the greatest integer less than or equal to t. Then, f is discontinuous at -

  1. four or more points
  2. only three points
  3. only two points
  4. only one point

Correct answer: only three points

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