Functions Question 303
Question: The value of $ \underset{x\to 0}{\mathop{\lim }},\frac{27^{x}-9^{x}-3^{x}+1}{\sqrt{5}-\sqrt{4+\cos x}} $ is
[J & K 2005]
Options:
A) $ \sqrt{5}{{(\log 3)}^{2}} $
B) $ 8\sqrt{5}\log 3 $
C) $ 16\sqrt{5}\log 3 $
D) $ 8\sqrt{5}{{(\log 3)}^{2}} $
Show Answer
Answer:
Correct Answer: D
Solution:
Applying L-Hospital?s rule.