作业帮lim(x→0)x-tanx/x+tanx=
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/03 23:57:32
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