方法1、
limsin3X/tan5X=limsin3xcos5x/sin5x
=lim(1/2)(sin8x-sin2x)/sin5x(积化和差)
=lim(1/2)(8cos8x-2cos2x)/5cos5x(分子分母同时求导)
=(1/2)(8-2)/(-5)=-3/5
方法2、
limsin3x/tan5x
=limcos3x *3 / sec^2 5x *5(分子分母同时求导)
=3/5lim cos3x (cos5x)^2
=3/5 (-1)(-1)^2
=-3/5
方法1、
limsin3X/tan5X=limsin3xcos5x/sin5x
=lim(1/2)(sin8x-sin2x)/sin5x(积化和差)
=lim(1/2)(8cos8x-2cos2x)/5cos5x(分子分母同时求导)
=(1/2)(8-2)/(-5)=-3/5
方法2、
limsin3x/tan5x
=limcos3x *3 / sec^2 5x *5(分子分母同时求导)
=3/5lim cos3x (cos5x)^2
=3/5 (-1)(-1)^2
=-3/5