A) \[{{9}^{1/8}}\]
B) \[\pm 2\]
C) \[\pm 3\]
D) None of these
Correct Answer: A
Solution :
\[\underset{x\to a}{\mathop{\lim }}\,\,\frac{{{x}^{9}}+{{a}^{9}}}{x+a}=9\,\,\Rightarrow \,\,\frac{2{{a}^{9}}}{2a}=9\,\,\Rightarrow \,\,{{a}^{8}}=9\]\[\Rightarrow \,\,\,\,a={{9}^{1/8}}\]
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