求x^1/x当x趋于正无穷是的极限x^(1/x)

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求x^1/x当x趋于正无穷是的极限x^(1/x)求x^1/x当x趋于正无穷是的极限x^(1/x)求x^1/x当x趋于正无穷是的极限x^(1/x)lim(x→+∞)x^(1/x)=lim(x→+∞)e^

求x^1/x当x趋于正无穷是的极限x^(1/x)
求x^1/x当x趋于正无穷是的极限
x^(1/x)

求x^1/x当x趋于正无穷是的极限x^(1/x)
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

极限是1,课本有讲