Functions Question 131
Question: $ \underset{x\to 0}{\mathop{\lim }},\frac{\sin mx}{\tan nx}= $
[DSSE 1987]
Options:
A) $ \frac{n}{m} $
B) $ \frac{m}{n} $
C) $ mn $
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
$ \Rightarrow \underset{x\to 0}{\mathop{\lim }}\frac{x,{ 1+a,( 1-\frac{x^{2}}{2!}+\frac{x^{4}}{4!}-\frac{x^{6}}{6!}+… ) }-b,{ x-\frac{x^{3}}{3!}+\frac{x^{5}}{5!}-… }}{x^{3}}=1 $ (formula).