lim(x→1),1/(x^2-1)解:1/(x^2-1)=1/(x+1)(x-1)lim(x→1),1/(x^2-1)=lim(x→1),1/(x+1)(x-1)=【lim(x→1),1/(x+1)】*【lim(x→1),1/(x-1)】=1/2*∞=∞应用到了,常数与无穷大的乘积仍然是无穷大。希望帮助你解决了问题。学习顺利。