考研数学笔记 —— 等价无穷小
in 高数 with 0 comment, Views is 197

考研数学笔记 —— 等价无穷小

in 高数 with 0 comment, Views is 197

$$ \sin x \sim x $$

$$ \arcsin x \sim x $$

$$ \tan x \sim x $$

$$ \arctan x \sim x $$

$$ e^x-1 \sim x $$

$$ \ln(1+x) \sim x $$

$$ \sqrt{1+x}-\sqrt{1-x} \sim x $$

$$ (1+ax)^b-1 \sim abx $$


$$ 1-\cos x \sim \dfrac{1}{2}x^2 $$

$$ x-\ln(1+x) \sim \dfrac{1}{2}x^2 $$


$$ \tan x-\sin x \sim \dfrac{1}{2}x^3 $$

$$ \tan x-x \sim \dfrac{1}{3}x^3 $$

$$ x-\arctan x \sim \dfrac{1}{3}x^3 $$

$$ x-\sin x \sim \dfrac{1}{6}x^3 $$

$$ \arcsin x-x \sim \dfrac{1}{6}x^3 $$

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