高数问题求解‼lim(tanx-sinx)/(sinx)^3 .x趋向0
来源:学生作业帮 编辑:百度作业网作业帮 分类:数学作业 时间:2024/07/03 08:19:48
高数问题求解‼lim(tanx-sinx)/(sinx)^3 .x趋向0
lim(x→0) (tanx - sinx)/(sinx)^3
= lim(x→0) (tanx - sinx)/x^3,分母等价无穷小
= lim(x→0) sinx(1/cosx - 1)/x^3
= lim(x→0) (sinx)/x * (1 - cosx)/(x^2 * cosx)
= lim(x→0) 2[sin(x/2)]^2/x^2
= lim(x→0) [sin(x/2)]^2/(x/2)^2 * 1/2
= 1/2
= lim(x→0) (tanx - sinx)/x^3,分母等价无穷小
= lim(x→0) sinx(1/cosx - 1)/x^3
= lim(x→0) (sinx)/x * (1 - cosx)/(x^2 * cosx)
= lim(x→0) 2[sin(x/2)]^2/x^2
= lim(x→0) [sin(x/2)]^2/(x/2)^2 * 1/2
= 1/2
求lim x趋向于0(x-sinx)/tanx^3
求极限:lim(x趋向于0)(sinx-tanx)/x=?它和lim(sinx+tanx)/x有区别吗?
lim(tanx-sinx)/x^3,x趋向0,求极限,是1/2吗?
lim(x趋向于0)((tanx-sinx)/(x*(sinx)^2)) 求极限,
求x趋向0时lim(tanx-sinx)/sinx的极限
lim x趋于0[(tanx-sinx)/sinx^3]的极限
lim(x→0)(sinx-tanx)/(sinx)^3
1、lim(tanx-sinx)/x的立方.x趋向0,2、lim{(2-x)/2}的2/x-1次方.x趋向0,3、lim
高数求导题一道lim(x-arc sin x)/(x sinx arc tanx) (x->0)
lim(sinx)^tanx (x趋向于pai/2)
大学高数极限的问题(1) X趋向于0,lim((根号2)-根号(1+cosX))/(sinX)^2(2) x趋向于0,I
lim(tanx-x)/( sinx-x )=?(x趋向于0)