x→0 lim sin(ax)/tan(bx)=( ),(a≠0,b≠0)
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x→0 lim sin(ax)/tan(bx)=( ),(a≠0,b≠0)
x→0 lim sin(ax)/tan(bx)=( ),(a≠0,b≠0)
x→0 lim sin(ax)/tan(bx)=( ),(a≠0,b≠0)
利用等价无穷小,当x→0时,sin(ax)等价ax,sin(bx)等价于bx,cos(bx)=1
x→0 lim sin(ax)/tan(bx)
=x→0 lim sin(ax)/(sin(bx)/cos(bx))
=x→0 lim sin(ax)cos(bx)/sin(bx)
=x→0 lim ax/bx
=a/b
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