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JEE Math Practice Question

If$$f(x) = \left\{ {\begin{matrix} {{{\sin (p + 1)x + \sin x} \over x}} & {,x < 0} \\ q & {,x = 0} \\ {{{\sqrt {x + {x^2}} - \sqrt x } \over {{x^{{3/2}}}}}} & {,x > 0} \\ \end{matrix} } \right.$$ is continuous at x = 0, then the ordered pair (p, q) is equal to

  1. A.$$\left( { - {3 \over 2}, - {1 \over 2}} \right)$$
  2. B.$$\left( { - {1 \over 2},{3 \over 2}} \right)$$
  3. C.$$\left( { - {3 \over 2}, {1 \over 2}} \right)$$
  4. D.$$\left( { {5 \over 2}, {1 \over 2}} \right)$$

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