例9求im tanx-sinx o x→>0 解 tanx-sinx tanx(1-cosx) Im m x→>0 sIn =lim x→0( cosr 1-cosx 1 →>(x→0 tanx- x n 0 2 Economic-mathematics 16-12 Wednesday, February 24, 2021Economic-mathematics 16 - 12 Wednesday, February 24, 2021 3 0 3 0 tan (1 cos ) lim tan sin lim x x x x x x x x − = − → → ( 0) 2 1 cos 1 2 → → − x x x  2 tan sin 1 lim 3 0 = −  → x x x x 3 0 tan sin lim x x x x − → 求       − =   → 2 0 sin 1 cos cos 1 lim x x x x x x 例9 解 “ ” 0 0