lim(1+3x)^3/x x趋向于0
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lim(1+3x)^3/x x趋向于0
lim(1+3x)^3/x x趋向于0
lim(1+3x)^3/x x趋向于0
lim(x→0) (1 + 3x)^(3/x)
= lim(x→0) (1 + 3x)^[1/(3x) * (3x) * 3/x]
= [lim(x→0) (1 + 3x)^(1/3x)]^[lim(x→0) (3/x) * 3/x]
= e^lim(x→0) 9
= e^9
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