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ExamsJEE MainGeneral

If f (x) = ⎪ ⎪ ⎪ ⎩ ⎪ ⎪ ⎪ ⎨ ⎧ > + = < + + 0 x , x x – x x 0 x , q 0 x , x x sin x ) 1 p sin( 2 / 3 2 is continuous at x = 0, then the ordered pair (p, q) is equal to :

  1. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 2 1 ,– 2 3 –
  2. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 2 3 , 2 1 –
  3. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 2 1 , 2 3 –
  4. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 2 1 , 2 5

Correct answer: ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 2 1 , 2 3 –

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