Question

高数求极限。求解答，附带详细过程。

高数求极限。求解答，附带详细过程。谢谢！

Answer 1

(1) lim(x→1)(x^2-2x+1)/(x^2-1)=lim(x→1)(x-1)^2/[(x-1)(x+1)]=lim(x→1)(x-1)/(x+1)=0 (2) lim(x→4)(x^2-6x+8)/(x^2-5x+4)=lim(x→4)(x-2)(x-4)/[(x-1)(x-4)]lim(x→4)(x-2)/(x-1)=2/3 (3) 原式=lim(x→2)(x+2)/[(x-2)(x+2)]=∞ (4) 原式=lim(n→∞)1.