求lim(x趋近于1)x^2-5x+4分之x^2+3x-4
问题描述:
求lim(x趋近于1)x^2-5x+4分之x^2+3x-4
答
答:
lim(x→1) (x^2+3x-4) / (x^2-5x+4)
=lim(x→1) (x-1)(x+4) / [(x-1)(x-4)]
=lim(x→1) (x+4)/(x-4)
=(1+4) /(1-4)
=-5/3