A) 1
B) ?1
C) ?2
D) 0
Correct Answer: B
Solution :
On rationalising, the given limit \[=\underset{x\to 0}{\mathop{\lim }}\,\,\frac{(1-{{x}^{2}}-1-{{x}^{2}})}{{{x}^{2}}\,(\sqrt{1-{{x}^{2}}}+\sqrt{1+{{x}^{2}})}}\] \[=\underset{x\to 0}{\mathop{\lim }}\,\frac{-2}{\sqrt{1-{{x}^{2}}}+\sqrt{1+{{x}^{2}}}}=\frac{-2}{1+1}=-1\]
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