lim(x→0)x-tanx/x+tanx=

来源：学生作业帮助网编辑：作业帮时间：2024/04/30 06:43:46

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