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If the function f(x) = ( ) ( ) ⎪ ⎪ ⎩ ⎪ ⎪ ⎨ ⎧ = ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ π π ∈ + + + + 0 x , k } 0 { – 2 , 2 – x , x cos – x sec x x 1 log x x – 1 log 2 e 2 e is continuous at x = 0, then k is equal to

  1. 1
  2. –1
  3. e
  4. 0

Correct answer: 1

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