Functions Question 40
Question: $ \underset{x\to a}{\mathop{\lim }}\frac{{{(x+2)}^{5/3}}-{{(a+2)}^{5/3}}}{x-a}= $
[AI CBSE 1991]
Options:
A) $ \frac{5}{3}{{(a+2)}^{2/3}} $
B) $ \frac{5}{3}{{(a+2)}^{5/3}} $
C) $ \frac{5}{3}{a^{2/3}} $
D) $ \frac{5}{3}{a^{5/3}} $
Show Answer
Answer:
Correct Answer: A
Solution:
Apply the L-Hospital’s rule, $ \underset{x\to a}{\mathop{\lim }}\frac{f(x)}{g(x)}=\underset{x\to a}{\mathop{\lim }}\frac{{f}’(x)}{{g}’(x)} $ .
BETA
