求极限公式,lim x趋于无穷,sinx/x x/sin1/x lim x趋于0,xsin1/x 1/xsinx xsin1/x
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/04 15:18:23
![求极限公式,lim x趋于无穷,sinx/x x/sin1/x lim x趋于0,xsin1/x 1/xsinx xsin1/x](/uploads/image/z/5203632-48-2.jpg?t=%E6%B1%82%E6%9E%81%E9%99%90%E5%85%AC%E5%BC%8F%2Clim+x%E8%B6%8B%E4%BA%8E%E6%97%A0%E7%A9%B7%2Csinx%2Fx+x%2Fsin1%2Fx+lim+x%E8%B6%8B%E4%BA%8E0%2Cxsin1%2Fx+1%2Fxsinx+xsin1%2Fx)
求极限公式,lim x趋于无穷,sinx/x x/sin1/x lim x趋于0,xsin1/x 1/xsinx xsin1/x
求极限公式,lim x趋于无穷,sinx/x x/sin1/x lim x趋于0,xsin1/x 1/xsinx xsin1/x
求极限公式,lim x趋于无穷,sinx/x x/sin1/x lim x趋于0,xsin1/x 1/xsinx xsin1/x
lim x趋于无穷 sinx/x=0
lim x趋于无穷 x/sin1/x->无穷/0型还是无穷
lim x趋于无穷 xsin1/x=(sin1/x)/(1/x)=1
lim x趋于0 xsin1/x=0
lim x趋于0 1/xsinx=1
lim_{x->无穷} (1/x) = 0.
lim_{x->无穷} sin(1/x) = 0.
lim_{x->无穷} 1/sin(1/x) = 无穷.
lim_{x->无穷} x/sin(1/x) = 无穷.
|sin(x)|<=1.
lim_{x->无穷} (1/x)sin(x) = 0. [有界量乘无穷小量还是无穷小量]
lim_{x->0}...
全部展开
lim_{x->无穷} (1/x) = 0.
lim_{x->无穷} sin(1/x) = 0.
lim_{x->无穷} 1/sin(1/x) = 无穷.
lim_{x->无穷} x/sin(1/x) = 无穷.
|sin(x)|<=1.
lim_{x->无穷} (1/x)sin(x) = 0. [有界量乘无穷小量还是无穷小量]
lim_{x->0} x = 0.
|sin(1/x)|<=1.
lim_{x->0} xsin(1/x) = 0. [有界量乘无穷小量还是无穷小量]
lim_{x->0} sin(x) = 0.
lim_{x->0} sin(x)/x = 1.
收起
我求的是1,不知道对不对 答案是1。 lim(x→0) [xsin(1/x)+(1/x)sinx] =lim(x→0) xsin(1/x)+lim(x→0) sinx/x,前面一项是(0
lim x趋于无穷,sinx/x =0 x/sin1/x=sin(1/x)/(1/x)=1
lim x趋于0,xsin1/x = sin(1/x)/(1/x)=0 1/xsinx =无穷