Chapter 2.1, Problem 2QCE

The tangent line to the curve $y={\left(x-1\right)}^2$ at the point $\left(-1,4\right)$ has equation $4x+y=0$ . Thus, the value of the limit

$\underset{x\to -1}{\lim }\frac{x^2-2x-3}{x+1}$

is $\text{\_\_\_\_\_\_\_}\text{.}$ .