Find the following limits :
`lim_(xrarr3) {(x^7-3)/(x^8-3)}`

Explanation

To find the limit \( \lim_{x \to 3} \frac{x^7 - 3}{x^8 - 3} \), we can follow these steps:

### Step 1: Substitute the value of \( x \)
We start by substituting \( x = 3 \) directly into the function:

\[ \frac{3^7 - 3}{3^8 - 3} \]
...