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求极限lim(x→0)(x^1/2*lnx)/e^x~
人气:411 ℃ 时间:2020-04-12 11:57:43
解答
=lim(x→0)(x^1/2*lnx)/ lim(x→0)e^x
=lim(x→0)(x^1/2*lnx)/ 1
=lim(x→0)(lnx)/ (x^-1/2)
=lim(x→0) (1/x)/ [(-1/2)(x^-3/2)
= -2 lim(x→0)x^1/2
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