Functions Question 97
Question: $ \underset{\theta \to 0}{\mathop{\lim }},\frac{1-\cos \theta }{{{\theta }^{2}}}= $
[AI CBSE 1981, 91; DSSE 1981, 83]
Options:
A) 1
B) 2
C) $ \frac{1}{2} $
D) $ \frac{1}{4} $
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Answer:
Correct Answer: C
Solution:
$ \underset{\theta \to 0}{\mathop{\lim }}\frac{2,{{\sin }^{2}}(\theta /2)}{{{\theta }^{2}}}=\frac{1}{2}. $ Aliter : Apply L-Hospital?s rule.
BETA
