Functions Question 210
Question: $ \underset{x\to 0}{\mathop{\lim }},\frac{{{\tan }^{-1}}x}{x} $ is
[SCRA 1996]
Options:
A) 0
B) $ \infty $
C) ?1
D) 1
Show Answer
Answer:
Correct Answer: D
Solution:
$ \underset{x\to 0}{\mathop{\lim }},\frac{{{\tan }^{-1}}x}{x} $ , $ ( \frac{0}{0},form ) $ $ =\underset{x\to 0}{\mathop{\lim }}\frac{\frac{1}{1+x^{2}}}{1}=\underset{x\to 0}{\mathop{\lim }},\frac{1}{1+x^{2}}=\frac{1}{1+0}=1 $ .
BETA
