Evaluate the Limit Using L'Hôpital's Rule $\lim _{x \rightarrow 0^{+}} \frac{2 e^{x^{2}}+x-2}{2-\sqrt{4-x^{2}}}$

Multiple Choice

Evaluate the limit using l'Hôpital's Rule. $\lim _{x \rightarrow 0^{+}} \frac{2 e^{x^{2}}+x-2}{2-\sqrt{4-x^{2}}}$

A) ( $\infty$ )
B) 1
C) e
D) 0