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lim(1+sinx-sin(sinx))^x^-3 x趋于0
人气:461 ℃ 时间:2020-07-07 10:52:47
解答
lim(x->0) (sinx-sin(sinx))/x^3 =lim(x->0) (cosx-cos(sinx)cosx)/3x^2=lim(x->0) (-sinx+sin(sinx)cos^2x+cos(sinx)sinx)/6x= 1/6*lim(x->0) {[(-sinx)/x] + [sin(sinx)cos^2 x]/x+[cos(sinx)sinx)/x]}= 1/6* { -1...
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