If lim x → a x + a x 9 + a 9 = 9 , then a =, 9 1/8, ± 2, ± 3, None of these

lim x → a x + a x 9 + a 9 = 9 ⇒ 2 a 2 a 9 = 9 ⇒ a 8 = 9 ⇒ a = 9 1/8

If lim x → a x + a x 9 + a 9 = 9 , then a =

Question: Answered & Verified by Expert

If $\lim _{x \rightarrow a} \frac{x^9+a^9}{x+a}=9$, then $a=$

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Solution:

1944 Upvotes Verified Answer

The correct answer is: $9^{1 / 8}$

$\lim _{x \rightarrow a} \frac{x^9+a^9}{x+a}=9 \Rightarrow \frac{2 a^9}{2 a}=9 \Rightarrow a^8=9 \Rightarrow a=9^{1 / 8}$

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