lim x→¼派 (tanx)∧tan2x 求极限.底数是0.25派.
问题描述:
lim x→¼派 (tanx)∧tan2x 求极限.底数是0.25派.
答
lim(tanx)^tan2x=lim(1+tanx-1)^tan2x=lim(1+tanx-1)^[1/(tanx-1)][(tanx-1)tan2x]底数:lim(1+tanx-1)^[1/(tanx-1)]=e指数:lim[(tanx-1)tan2x]=lim[(sinx/cosx-1)sin2x/cos2x]=lim[(sinx-cosx)2sinx/cos2x] 下面利...