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数学
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lim(x趋向于0)((e^x)*sinx-x(1+x))/x^3 用泰勒定理求
人气:320 ℃ 时间:2020-01-30 00:04:20
解答
用泰勒公式展开e^x sinx
e^x=1+x+x²/2+o(x³)
sinx=x-x³/6+o(x³)
代入式子可得极限为1/3
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