JEE Math Practice Question
If $$\mathop {\lim }\limits_{x \to \infty } {\left( {1 + {a \over x} + {b \over {{x^2}}}} \right)^{2x}} = {e^2}$$, then the value of $$a$$ and $$b$$, are
- A.$$a$$ = 1 and $$b$$ = 2
- B.$$a$$ = 1 and $$b$$ $$ \in R$$
- C.$$a$$ $$ \in R$$ and $$b$$ = 2
- D.$$a$$ $$ \in R$$ and $$b$$ $$ \in R$$
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