$\displaystyle\lim_{x \to \infty}$ $\begin{pmatrix} \frac{x^2 + 5x + 3}{x^2 + x + 2} \end{pmatrix}^x$ is :

Question

( A ) $e^2$
( B ) $e$
( C ) $e^3$
( D ) $e^4$