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1. （单选题）当

x \to + \infty

时,

f (x) = (x^{3} - x^{2} + \frac{1}{2} x) e^{\frac{1}{x}} - \sqrt{x^{6} + 1} - \frac{1}{6}

是

g (x) = α x^{β}

等价无穷小, 则

α, β =

A、

α = \frac{1}{2}, β = - 1

B、

α = \frac{1}{8}, β = - 1

C、

α = \frac{1}{8}, β = - 2

D、

α = \frac{1}{2}, β = - 2