JEE Main 2004Annual, Paper 1MathematicsMediumLimit, Continuity and Differentiability420× since 2002If limx→∞(1+ax+bx2)2x=e2\mathop {\lim }\limits_{x \to \infty } {\left( {1 + {a \over x} + {b \over {{x^2}}}} \right)^{2x}} = {e^2}x→∞lim(1+xa+x2b)2x=e2, then the value of aaa and bbb, areAOption A. aaa = 1 and bbb = 2BOption B. aaa = 1 and bbb ∈R\in R∈RCOption C. aaa ∈R\in R∈R and bbb = 2DOption D. aaa ∈R\in R∈R and bbb ∈R\in R∈RCheckSkip · show solution
