Lim*(sin x/tan x)x->0
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Lim*(sinx/tanx)x->0Lim*(sinx/tanx)x->0Lim*(sinx/tanx)x->0利用等价无穷小.x->0时,sinxtanxx∴极限=1sinx/tanx=cosxl
Lim*(sin x/tan x)x->0
Lim*(sin x/tan x)x->0
Lim*(sin x/tan x)x->0
利用等价无穷小.x->0时,sin x tan x x
∴极限=1
sinx/tanx=cosx
lim(x-->0) (sinx/tanx)
=lim(x-->0) cosx
=1
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