求极限:1.lim(x→∞) (3x^2 -2)/(x^4 +x^2 -1) 2.lim(x→∞) (4x^4 -2x^2 -x)/(x^3 -x^2 +1)抱歉,误把内容写到标题上了...求极限:1.lim(x→∞) (3x^2 -2)/(x^4 +x^2 -1) 2.lim(x→∞) (4x^4 -2x^2 -x)/(x^3 -x^2 +1)

问题描述:

求极限:1.lim(x→∞) (3x^2 -2)/(x^4 +x^2 -1) 2.lim(x→∞) (4x^4 -2x^2 -x)/(x^3 -x^2 +1)
抱歉,误把内容写到标题上了...
求极限:
1.lim(x→∞) (3x^2 -2)/(x^4 +x^2 -1)
2.lim(x→∞) (4x^4 -2x^2 -x)/(x^3 -x^2 +1)

1.lim(x→∞) (3x^2 -2)/(x^4 +x^2 -1)
=lim(x→∞) (3/x^2 -2/x^4)/(1+1/x^2 -1/x^4)
=(0 -0)/(1+0 -0)
=0
2.lim(x→∞) (4x^4 -2x^2 -x)/(x^3 -x^2 +1)
=lim(x→∞) (4x -2/x -1/x^2)/(1 -1/x +1/x^3)
=(∞ -0 -0)/(1 -0 +0)
=∞