Question

求极限,x^2-2x+1/x^2-1 当X趋近于1的极限

Answer 1

(x²-2x+1)/(x²-1)=(x-1)²/[(x+1)(x-1)]=(x-1)/(x+1)

lim(x²-2x+1)/(x²-1)=lim(x-1)/(x+1)=(1-1)/(1+1)=0

x趋近于1 x趋近于1