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l i m(x-sinx)/x^3=1/6 怎么证明 x->0
人气:431 ℃ 时间:2020-09-21 13:51:36
解答
lim(x→0)(x-sinx)/x^3  (0/0型,运用洛必达法则)
=lim(x→0)(1-cosx)/(3x^2) (运用等价无穷代换,1-cosx~x^2/2)
=lim(x→0)(x^2/2)/(3x^2)
=1/6
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