原式=lim(n->∞)n^5/e^n
=lim(x->+∞)x^5/e^x
=lim(x->+∞)5x^4/e^x
=lim(x->+∞)20x^3/e^x
=lim(x->+∞)60^2/e^x
=lim(x->+∞)120x/e^x
=lim(x->+∞)120/e^x
=0
原式=lim(n->∞)n^5/e^n
=lim(x->+∞)x^5/e^x
=lim(x->+∞)5x^4/e^x
=lim(x->+∞)20x^3/e^x
=lim(x->+∞)60^2/e^x
=lim(x->+∞)120x/e^x
=lim(x->+∞)120/e^x
=0