早教吧作业答案频道 -->数学-->
求x^1/x当x趋于正无穷是的极限x^(1/x)
题目详情
求x^1/x当x趋于正无穷是的极限
x^(1/x)
x^(1/x)
▼优质解答
答案和解析
lim(x→+∞) x^(1/x)
=lim(x→+∞) e^[lnx^(1/x)]
=lim(x→+∞) e^(lnx/x)
=e^[lim(x→+∞) (lnx/x)]
=e^[lim(x→+∞) (1/x)]
=e^0
=1
=lim(x→+∞) e^[lnx^(1/x)]
=lim(x→+∞) e^(lnx/x)
=e^[lim(x→+∞) (lnx/x)]
=e^[lim(x→+∞) (1/x)]
=e^0
=1
看了 求x^1/x当x趋于正无穷是...的网友还看了以下: