cos(sinx)=1-sin2x/2!+sin4x/4!+o(x4)sin2x=[x-x3/3!+o(x3)]2=x2-x4/3+o(x4),sin4x=[x-x3/3!+o(x3)]4=x4+o(x4),cos(sinx)=1-1/2x2+5x4/24

admin2022-03-31  20

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答案cos(sinx)=1-sin2x/2!+sin4x/4!+o(x4)sin2x=[x-x3/3!+o(x3)]2=x2-x4/3+o(x4),sin4x=[x-x3/3!+o(x3)]4=x4+o(x4),cos(sinx)=1-1/2x2+5x4/24+o(x4),cosx=1-1/2x2+x4/24+o(x4),则cos(sinx)-cosx~1/6x4, [*]

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