大学文学第一名
=lim(秒?x-1)/(1-cosx)= lim(1+cosx)/cos?x=2
= limxcos 2x/sin2x = lim(cos2x-2 xsin 2x)/2 cos 2x = 1/2
=lim(e^(1/x)-1)/(1/x)=lime^(1/x)(1/x)'/(1/x)'=lime^(1/x)=1
= lim(xlnx-(x-1))/(x-1)lnx = lim(lnx+1-1)/(lnx+(x-1)/x)= limxlnx/(xlnx+x-1)= lim(lnx+1)/(lnx+1)=。
=lime^(tanxln(1/x))=e^limln(1/x)/cotx=e^lim((-1/x?)/(1/x))/-ccs?x=e^limsin?x/x=e^lim2sinxcosx=e^0=1