计算lim(1+3x)1\x (lim下面有个 x→0)

问题描述:

计算lim(1+3x)1\x (lim下面有个 x→0)

求极限x→0lim(1+3x)^(1/x )...............................................................................................................
原式=x→0lim{(1+3x)^[1/(3x)]³=e³.

lim(1+3x)1\x
=e^lim(x->0)3x/x
=e^3