lim(1+1/x-1)^x是多少
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lim(1+1/x-1)^x是多少lim(1+1/x-1)^x是多少lim(1+1/x-1)^x是多少lim(1+1/(x-1))^x=lim(1+1/(x-1))^(x-1)*(1+1/(x-1))
lim(1+1/x-1)^x是多少
lim(1+1/x-1)^x是多少
lim(1+1/x-1)^x是多少
lim(1+1/(x-1))^x
=lim(1+1/(x-1))^(x-1)*(1+1/(x-1))
=lim(1+1/(x-1))^(x-1)lim(1+1/(x-1))
=lim(1+1/(x-1))^(x-1)（1 + lim1/(x-1) ）
=e(1+0)
=e
=lim(1+1/(x-1))^(x-1) * (1+1/(x-1))
=e*1
=e
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