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求极限,当x趋向于0,lim(1-cosx/2)x/(tanx-sinx),
人气:168 ℃ 时间:2020-02-03 16:21:17
解答
lim(x→0)[(1-cosx╱2)x╱(tanx-sinx)] =lim(x→0)[╱(tanx-sinx)] =lim(x→0)[(x╱8)╱{sinx(1-cosx)╱cosx}] =lim(x→0)[xcosx╱4sinx] =lim(x→0)[cosx╱4] =1╱4
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