Limit Math Example 5

Solution

1. 1
   Direct substitution: $\frac{(-1)^2 + 3(-1) + 2}{-1 + 1} = \frac{0}{0}$, indeterminate.
2. 2
   Factor the numerator: $x^2 + 3x + 2 = (x + 1)(x + 2)$.
3. 3
   Cancel: $\frac{(x+1)(x+2)}{x+1} = x + 2$ for $x \neq -1$.
4. 4
   Evaluate: $\lim_{x \to -1} (x + 2) = 1$.