Final Answer
$-\frac{2}{5}$$\,\,\left(\approx -0.4\right)$
Step-by-step Solution
Problem to solve:
$\lim_{x\to3}\left(\frac{x^2-1\cdot 8\cdot x+7}{x^3-1\cdot 3\cdot x+2}\right)$
Solving method
1
Evaluate the limit $\lim_{x\to3}\left(\frac{x^2-8x+7}{x^3-3x+2}\right)$ by replacing all occurrences of $x$ by $3$
$\frac{3^2-8\cdot 3+7}{3^3-3\cdot 3+2}$
2
Simplifying, we get
$-\frac{2}{5}$
Final Answer
$-\frac{2}{5}$$\,\,\left(\approx -0.4\right)$