Functions Question 49
Question: If $ \underset{x\to a}{\mathop{\lim }},\frac{x^{9}+a^{9}}{x+a}=9 $ , then $ a= $
Options:
A) $ {9^{1/8}} $
B) $ \pm 2 $
C) $ \pm 3 $
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
$ \underset{x\to a}{\mathop{\lim }}\frac{x^{9}+a^{9}}{x+a}=9\Rightarrow \frac{2a^{9}}{2a}=9\Rightarrow a^{8}=9 $
$ \Rightarrow a={9^{1/8}} $
BETA
