If , the values of and…

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

\lim_{x \to 0}(1+ax+bx^2)^{2/x}=e^3

, the values of

a

and

b

are (1)

a=\frac{3}{2},\ b\in\mathbb{R}

(2)

a=\frac{1}{2},\ b\in\mathbb{R}

(3)

a\in\mathbb{R},\ b\in\mathbb{R}

(4) None of these