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求:lim(x趋向0)∫(0到x)sintdt/∫(0到x)tdt的极限,
人气:482 ℃ 时间:2020-02-14 17:15:13
解答
设(cos0-cosx)/(x^/2)=a原式=lim(x趋向0)(cos0-cosx)/[(x^/2)-0]=a=lim(x趋向0)(1-cosx)/(x^/2)=d[(1-cosx)/x]/dx (x趋向0)=sinx/x-(1-cosx)/(x^/2) (x趋向0)=1-(1-cosx)/(x^/2) (x趋向0)=1-a所以a=1-aa=1/2所以lim(...
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