计算lim(1+3x)1\x (lim下面有个 x→0)

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计算lim(1+3x)1\x (lim下面有个 x→0)

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

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