求lim(x趋向1)(x^2-3x+2)/(1-x^2)的极限
问题描述:
求lim(x趋向1)(x^2-3x+2)/(1-x^2)的极限
答
lim(x趋向1)(x^2-3x+2)/(1-x^2)
=lim(x趋向1)(x-2)(x-1)/[(1-x)(1+x)]
=lim(x趋向1)(2-x)/(1+x)
=(2-1)/(1+1)
=1/2