lime^x/x^100(x趋近于无穷)

Question

lime^x/x^100 (x趋近于无穷)

Answer 1

因为
limx^100/e^x(x趋近于无穷)
=lim(x->∞)100x^99/e^x
=.
=lim(x->∞)100!/e^x
=0
所以
原式=∞.