Question

$$\displaystyle\lim_{ x \rightarrow -1 } \left( \frac{ x _{ 2 } -1 }{ x+1 } \right)$$

Evaluate

$\left\{\begin{matrix}0,&x_{2}=1\\\text{Divergent},&x_{2}\neq 1\end{matrix}\right.$

Differentiate w.r.t. x_2

$\left\{\begin{matrix}0,&x_{2}=1\\\text{Indeterminate},&x_{2}\neq 1\end{matrix}\right.$