14.极限1im 0+x2-1 x→0 1-cosx lim 1+x2-1 1x2 lim n 2 x→0 1-cosx →0 n 2 15.极限lim x-sinx *In(1+x).tanx x-sInx lim x-sInx 1-cosx lim =lim x In(1+x).tanx x-→0 x.x2 x→0 3x2 sin x lim x>0 6x 6 1 2 0 (1 ) 1 14 lim 1 cos n x x → x + − = − .极限 1 2 2 0 0 2 1 (1 ) 1 lim lim 1 cos 1 2 n x x x x n x x → → + − = − 2 n = 2 0 sin 15 lim x ln(1 ) tan x x → x x − = +  .极限 2 2 0 0 sin sin lim lim x x ln(1 ) tan x x x x → → x x x x − − = +   2 0 1 cos lim x 3 x → x − = 0 sin 1 lim x 6 6 x → x = =