Question

lim(1-1/n)^n= n→∞

答案是e 还是1/e

Answer 1

是1/e

lim[1+(-1/n)]^n
=lim{[1+(-1/n)]^(-n)}^(-1)
=e^(-1)

Answer 2

n→∞lim(1-1/n)^n= lim(1+1/m)^-m=[lim(1+1/m)^m]^-1
=e^-1
=1/e