Limit's Dilemma

Calculus Level 3

limx0(1+ax+bx2)2/x=e3\large \lim_{x\to0} (1+ax+bx^2)^{2/x} = e^3

If the equation above holds true for constants aa and bb, which of the following options must be true?

Clarification: R\mathbb R denote the set of all real numbers.

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