lim(x→0)x-tanx/x+tanx=
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/27 09:51:17
![lim(x→0)x-tanx/x+tanx=](/uploads/image/z/2622092-68-2.jpg?t=lim%28x%E2%86%920%29x-tanx%2Fx%2Btanx%3D)
lim(x→0)x-tanx/x+tanx=
lim(x→0)x-tanx/x+tanx=
lim(x→0)x-tanx/x+tanx=
lim ( x - tanx/x + tanx)
=lim(x) - lim(tanx/x) + lim(tanx)
=0 - lim(sinx/cosx)(x) + lim(sinx/cosx)
= - lim(sinx/x)lim(cosx) + lim(sinx)lim(1/cosx)
= - 1*lim(cosx) + 0*lim(1/cosx)
= -1*1 + 0*(1/1)
= -1