For $\begin{align*} x \in R, \; \displaystyle\lim_{x \to \infty} \begin{pmatrix} \frac{x-3}{x+2} \end{pmatrix}^x \end{align*}$ is equal to :

Question

( A ) $e^{-5}$
( B ) $e^{-1}$
( C ) $e$
( D ) $e^{5}$