A) ?1
B) 0
C) \[\sqrt{3}\]
D) \[\frac{1}{\sqrt{3}}\]
Correct Answer: D
Solution :
\[\underset{x\to 0}{\mathop{\lim }}\,\frac{2x}{x\,(\sqrt{3+x}+\sqrt{3-x})}=\frac{2}{2\sqrt{3}}=\frac{1}{\sqrt{3}}.\] Aliter : Apply L-Hospital?s rule two times.You need to login to perform this action.
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