当 x\rightarrow0 时
(02) \tan x \backsim x
(01) \sin x \backsim x
(03) \arcsin x \backsim x
(04) \arctan x \backsim x
(05) \ln(1+x) \backsim x
(06) e^{x} -1 \backsim x
(07) 1-\cos x \backsim \frac{1}{2}x^{2}
(08) x - \ln(1 + x) \backsim \frac{1}{2}x^{2}
(09) \tan x - \sin x \backsim \frac{1}{2}x^{3}
(10) \arcsin x - \arctan x \backsim \frac{1}{2}x^{3}
(11) \tan x - x \backsim \frac{1}{3}x^{3}
(12) x - \arctan x \backsim \frac{1}{3}x^{3}
(13) x - \sin x \backsim \frac{1}{6}x^{3}
(14) (1+a)^{x}-1 \backsim ax
(15) a^{x}-1 \backsim \ln a\times x