lim(x→0)(1-2x)^1/x 极限?

2个回答

lim(x→0)(1-2x)^1/x
=lim(x→0)(1-2x)^(1/2x*2)
=[lim(x→0)(1-2x)^(1/2x)]2 lim(x→0)(1-1/x)^x=1/e
=(1/e)^2
=1/e^2

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