=0,因为分子cosx有界,小于等于1,而分母e的X次幂,当X趋向于正无穷时,e的X次幂为正无穷,所以该式求极限为0
(9)lim(x->∞) cosx/(e^x +e^(-x))|cosx|≤1lim(x->∞) 1/(e^x +e^(-x)) =0=>lim(x->∞) cosx/(e^x +e^(-x))=0