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Let f : R → R be define as : f (x) = 2 2 a b cos 2x ; x 0 x x cx 2 ; 0 x 1 2x 1 ; x 1 − ⎧ < ⎪ ⎪ ⎪ + + ≤ ≤ ⎨ ⎪ + > ⎪ ⎪ ⎩ If f is continuous every where in R and m is the number of points where f is NOT differential then m + a + b + c equal :

  1. 4
  2. 2
  3. 1
  4. 3

Correct answer: 2

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