If `underset( x rarr - a) ( "lim")(x^9+a^9)/(x+a)=9,\ ` find the real value of `adot`

Explanation

To solve the limit problem step by step, we will analyze the limit given and apply L'Hôpital's Rule where necessary.

### Step-by-Step Solution:

1. **Identify the limit**:
We need to evaluate the limit:
\[
\lim_{x \to -a} \frac{x^9 + a^9}{x + a}
...