If $$\lim_{x \to \infty}\left(1 + \frac{a}{x} + \frac{b}{x^2}\right)^{2x} = e^2$$, then the values of $$a$$ and $$b$$, are

A

$$a \in R, b \in R$$

B

$$a = 1, b \in R$$

C

$$a \in R, b = 2$$

D

$$a = 1$$ and $$b = 2$$