题目 #7064 设当
x → 0 x \rightarrow 0 x → 0 时,
α ( x ) = tan x − sin x , β ( x ) = 1 + x 2 − 1 − x 2 , γ ( x ) = ∫ 0 1 − cos x sin t d t \alpha \left( x\right) = \tan x - \sin x,\beta \left( x\right) = \sqrt{1 + {x}^{2}} - \sqrt{1 - {x}^{2}},\gamma \left( x\right) = {\int }_{0}^{1 - \cos x}\sin {tdt} α ( x ) = tan x − sin x , β ( x ) = 1 + x 2 − 1 − x 2 , γ ( x ) = ∫ 0 1 − c o s x sin t d t 都是无穷小,将它们关于
x x x 的阶数从低到高排列,正确的顺序为
‾ \underline{\qquad} .
A.
α ( x ) , β ( x ) , γ ( x ) \alpha \left( x\right) ,\beta \left( x\right) ,\gamma \left( x\right) α ( x ) , β ( x ) , γ ( x ) B.
α ( x ) , γ ( x ) , β ( x ) \alpha \left( x\right) ,\gamma \left( x\right) ,\beta \left( x\right) α ( x ) , γ ( x ) , β ( x ) C.
γ ( x ) , α ( x ) , β ( x ) \gamma \left( x\right) ,\alpha \left( x\right) ,\beta \left( x\right) γ ( x ) , α ( x ) , β ( x ) D.
β ( x ) , α ( x ) , γ ( x ) \beta \left( x\right) ,\alpha \left( x\right) ,\gamma \left( x\right) β ( x ) , α ( x ) , γ ( x )