lim(x→0)(x^2)[e^{(1/x^2) }]用洛必达法则求极限

问题描述:

lim(x→0)(x^2)[e^{(1/x^2) }]用洛必达法则求极限

令1/x^2=t ,那么t趋于正无穷
lim(x→0)(x^2)[e^{(1/x^2) }]
= lim(t→正无穷)e^t/t (罗比达法则:)
=lim(t→正无穷)e^t
=正无穷