微积分几个小题,求详解.画勾的几个题目.
1个回答

(1)原式=lim{[(x²)²-x²(x²+2)]/[x²-x√(x²+2)]}=-lim{2x²/[x²-x√(x²+2)]}=-lim{2x²/(2x²)}=-1;

(2)原式={[x³/(1-x²)]+[x²/(1+x)]}=lim{[x³+x²(1-x)]/(1-x²)}=lim{x²/(1-x²)}=-1;

(3)原式=lim{[(2x-1)x+(x-2)]/(x²+x)}=lim{2(x²-1)/(x²+x)}=lim{2(x-1)/x}=4;

(4)原式=lim{(x+1)/(x²-x-2)}=lim{1/(x-2)}=-1/2;

(11)原式=lim{[(1/x)-2]^8/[3+(2/x)]^15}=(-2)^8/(3)^15=256/3^15;