Limit's Dilemma

Calculus Level 3

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

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

Notation: R\mathbb R denotes the set of all real values.

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