Answer
$\infty$
Work Step by Step
We have $$
\lim _{x \rightarrow -2^-} \frac{x+1}{x+2}= \infty.
$$
We know that the limit from the left will be positive infinity because the numerator and denominator will both be negative, producing a positive overall fraction. The denominator will be arbitrarily close to zero, producing an infinite result.
