Functions Question 137
Question: $ \underset{x\to 0}{\mathop{\lim }},\frac{\sqrt{3+x}-\sqrt{3-x}}{x}= $
[MP PET 1987]
Options:
A) ?1
B) 0
C) $ \sqrt{3} $
D) $ \frac{1}{\sqrt{3}} $
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Answer:
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.
BETA
