lim(x→1)(X^2-2X+1)/(X^2-1)的极限

问题描述:

lim(x→1)(X^2-2X+1)/(X^2-1)的极限

(x²-2x+1)/(x²-1)
=(x-1)²/(x+1)(x-1)
=(x-1)/(x+1)
所以极限=(1-1)/(1+1)=0