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lim(1+3/x^2)^sin^2x x趋近正无穷
lim(1+3/x^2)^sin^2x x趋近正无穷
人气:196 ℃ 时间:2020-04-17 20:13:39
解答
lim=lim[(1+3/x^2)]^{(x^2/3)*(3/x^2)*sin^2x}=e^{lim(3sin^2x)/x^2}=e^0=1 利用了当x为无穷大或x趋于0时,(1+1/x)^x=e
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