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limx->0（1-cosxcos2xcos3x）/(x^2)
题目详情
limx->0 （1-cosxcos2xcos3x）/(x^2)
▼优质解答
答案和解析
limx->0 (1-cosxcos2xcos3x)/(x^2) 罗必塔
=limx->0 (sinxcos2xcos3x+2sin2xcosxcos3x+3sin3xcosxcos2x)/2x sinx~x
=limx->0 (1/2cos2xcos3x+2cosxcos3x+3*3/2cosxcos2x)
=7
=limx->0 (sinxcos2xcos3x+2sin2xcosxcos3x+3sin3xcosxcos2x)/2x sinx~x
=limx->0 (1/2cos2xcos3x+2cosxcos3x+3*3/2cosxcos2x)
=7
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