(1)设=8,则a=_______. (2)设χ-(a+bcosχ)sinχ为χ的5阶无穷小,则a_______,b_______. (3)设当χ→0时,f(χ)=ln(1+t)dt~g(χ)=χa(ebχ-1),则a=_______,b=

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问题 (1)设=8,则a=_______.
    (2)设χ-(a+bcosχ)sinχ为χ的5阶无穷小,则a_______,b_______.
    (3)设当χ→0时,f(χ)=ln(1+t)dt~g(χ)=χa(e-1),则a=_______,b=_______.

选项

答案(1)ln2,(2)2;-1,(3)3;[*].

解析 (1)
    由e3a=8,得a=ln2.

    解得a=2,b=-1.
    (3)由得f(χ)~χ4
    再由g(χ)=χa(e-1)~bχa+1得a=3,b=
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