计算下列各极限lim x^2+2x-2x->-1 ---------x^2+1 limx->无穷 (1+1/x)(2-1
来源:学生作业帮 编辑:搜狗做题网作业帮 分类:数学作业 时间:2024/07/13 03:10:26
计算下列各极限
lim x^2+2x-2
x->-1 ---------
x^2+1
lim
x->无穷 (1+1/x)(2-1/x^2)
lim
x->-1 (x^2+2x-2)/(x^2+1)
lim x^2+2x-2
x->-1 ---------
x^2+1
lim
x->无穷 (1+1/x)(2-1/x^2)
lim
x->-1 (x^2+2x-2)/(x^2+1)
![计算下列各极限lim x^2+2x-2x->-1 ---------x^2+1 limx->无穷 (1+1/x)(2-1](/uploads/image/z/5743660-4-0.jpg?t=%E8%AE%A1%E7%AE%97%E4%B8%8B%E5%88%97%E5%90%84%E6%9E%81%E9%99%90lim+x%5E2%2B2x-2x-%3E-1+---------x%5E2%2B1+limx-%3E%E6%97%A0%E7%A9%B7+%281%2B1%2Fx%29%282-1)
1.lim(x^2+2x -2)/(x^2+1)=
只要把x=-1代人上面式子即可
所以:lim(x^2+2x -2)/(x^2+1)=(1-2-2)/(1+1)=-3/2
2.lim
x->无穷 (1+1/x)(2-1/x^2)
当x趋向∞时,1/x趋向0.1/x^2趋向0
所以:lim
x->无穷 (1+1/x)(2-1/x^2)=(1+0)(2-0)=2
只要把x=-1代人上面式子即可
所以:lim(x^2+2x -2)/(x^2+1)=(1-2-2)/(1+1)=-3/2
2.lim
x->无穷 (1+1/x)(2-1/x^2)
当x趋向∞时,1/x趋向0.1/x^2趋向0
所以:lim
x->无穷 (1+1/x)(2-1/x^2)=(1+0)(2-0)=2
计算下列各极限lim x^2+2x-2x->-1 ---------x^2+1 limx->无穷 (1+1/x)(2-1
计算极限:limx趋向于无穷,[(5x^2+1)/(3x-1)]sin1/x
用无穷小量的性质求下列极限,1,x趋向于0,limx^2cos(1/x) 2,x趋向于无穷大,lim(arctanx/x
求极限,lim x→0 sin(x-2)÷x平方-4 lim x→正无穷(1+1÷3x) limx→...
limx趋于无穷 (1+1/x)^x/2 和lim趋于无穷(1+x/x)^2x
计算极限lim (x->1)[(x^2=3x-4)/x^2-1)] lim (x->正无穷)[(1+1/2x)^3x]
limX趋近无穷 x^2-1/2x^2-x
计算下列极限1) x->1 lim arccos 根号(3x+lgx)/2 2)x->正无穷lim (ln(1+x)-l
求极限 limx趋近于无穷(x^2-1)/(3x^2-x-1)
求极限 limx趋向无穷(2x+3/2x+1)∧x+1
(2x)^20×(x-1)^40/(3x+1)^60+1的极限Limx→ 无穷
求极限limx趋向无穷 ((1-2x) /(2-2x))^x