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lim(x→0)(x^x)等于多少
人气:263 ℃ 时间:2020-06-18 02:31:11
解答
只能是x→0+,极限是1
lim(x→0+)(x^x)
=lim(x→0+) e^ln(x^x)
=lim(x→0+) e^(xlnx)
=e^lim(x→0+) (xlnx)
=e^0
=1为什么lim(x→0 ) (xlnx)趋近于0lim(x→0+ ) (xlnx)=lim(x→0+ ) lnx/(1/x) (∞/∞)=lim(x→0+ ) (1/x)/(-1/x^2)=lim(x→0+ ) (-x)=0
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