Answer
$-3$
Work Step by Step
Recall that if $ f $ is a polynomial function, then we have $\lim_\limits{x\to a}f(x)=f(a)$.
In order to to find the limit, we will plug $ a $ into the function and then simplify.
$\lim_\limits {x \to -1} \dfrac{x^2-x-2}{x+1}=\dfrac{(x-2)(x+1)}{(x+1)}$
or, $\lim_\limits {x \to -1} (x-2)$
or, $=-3$