答:
原式
=lim x->∞ (1+1/(x^2-1))^x
=lim x->∞ (1+1/(x^2-1))^((x^2-1)*(x/(x^2-1))
=lim x->∞ e^(x/(x^2-1))
=lim x->∞ e^0
=1