lim(x->0)e^[-1/x^2]为多少?

问题描述:

lim(x->0)e^[-1/x^2]为多少?

lim(x→0) e^(-1/x²)
=lim(x→0) e^-(1/x²)
=e^-(1/0)
=e^-∞
=1/∞
=0

lim(x→0) e^(-1/x²)
=lim(x→0) 1/e^(1/x²)
=1/e^(1/0)
=1/e^∞
=1/∞
=0