Functions Question 91
Question: $ \underset{x\to 1}{\mathop{\lim }},\frac{1-{x^{-1/3}}}{1-{x^{-2/3}}}= $
[AI CBSE 1991]
Options:
A) $ \frac{1}{3} $
B) $ \frac{1}{2} $
C) $ \frac{2}{3} $
D) $ -\frac{2}{3} $
Show Answer
Answer:
Correct Answer: B
Solution:
$ \underset{x\to 1}{\mathop{\lim }}\frac{1-{x^{-1/3}}}{(1-{x^{-1/3}})(1+{x^{-1/3}})}=\frac{1}{2}. $ Aliter : Apply L-Hospital?s rule.
BETA
