A) 1
B) 2
C) ?1
D) ?2
Correct Answer: A
Solution :
\[\underset{x\to 3}{\mathop{\lim }}\,\,\left\{ \frac{x-3}{\sqrt{x-2}-\sqrt{4-x}} \right\}=\underset{x\to 3}{\mathop{\lim }}\,\,\frac{(x-3)\,\left\{ \sqrt{x-2}+\sqrt{4-x} \right\}}{2\,(x-3)}=1\]. Aliter : Apply L-Hospital?s rule.
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