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).