Question

lim(x→0)(1-2x)^1/x 极限?

Answer 1

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