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LimTanX一SinX/Sin3次方X.X趋于无穷大
人气:495 ℃ 时间:2020-05-14 00:53:56
解答
x→0时,
(tanx-sinx)/(sinx)^3
=(1-cosx)/[cosx(sinx)^2]
=(1-cosx0/{cosx[1-(cosx)^2]}
=1/[cosx(1+cosx)]
→1/2;
x→∞时极限不存在.
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