求lim x→0 1-cos2x/x·sinx极限
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求limx→01-cos2x/x·sinx极限求limx→01-cos2x/x·sinx极限求limx→01-cos2x/x·sinx极限limx→0(1-cos2x)/(x·sinx)=lim(x-
求lim x→0 1-cos2x/x·sinx极限
求lim x→0 1-cos2x/x·sinx极限
求lim x→0 1-cos2x/x·sinx极限
lim x→0 (1-cos2x)/(x·sinx)
=lim(x-->0)2sin²x/(xsinx)
=2lim(x-->0)sinx/x
=2*1
=2
公式:1-cos2x=2sin²x
lim(x-->0)sinx/x=1
2
原式=lim x→0 2*sinx^2/(x*sinx)
=lim x→0 2*sinx/x
因为lim x→0 sinx/x=1
所以原式=2
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