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Lim [ (1+x)1/x -e] /x ( x趋近于0 ) 求极限
人气:216 ℃ 时间:2019-12-19 09:09:18
解答
题目有少许问题应该是这样的吧Lim [ (1+x)^(1/x) -e] /x ( x趋近于0 )上下均趋于0,运用洛比塔法则=Lim (1+x)^(1/x)*{[x/(1+x)-ln(1+x)]/x^2}=Lim e*{[x/(1+x)-ln(1+x)]/x^2}=e*Lim {[x/(1+x)-ln(1+x)]/x^2}(x趋...
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