lim(x→0)x-tanx/x+tanx=
问题描述:
lim(x→0)x-tanx/x+tanx=
答
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