If p=limx→∞(sin√x2+1−sin|x|) and q=limx→−∞[sin(cos(√|x – InterviewSolution

1.	If p=limx→∞(sin√x2+1−sin\|x\|) and q=limx→−∞[sin(cos(√\|x\|−x3)−1)](Where [.] denotes greatest integer function), then which of the following is/are correct:
Answer» If $p = lim x \to \infty (sin \sqrt{x^{2} + 1} - sin \| x \|)$ and $q = lim x \to - \infty [sin (cos {(\sqrt{\| x \| - x^{3}})}^{- 1})]$ (Where [.] denotes greatest integer function), then which of the following is/are correct:

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