原式为0/0型,运用洛必达法则得lim(x趋于0) (tanx-sinx)/x^3=lim(x趋于0) (sec^2x-cosx)/3x^2=lim(x趋于0) (1-cos^3x)/3x^2=lim(x趋于0) (3cos^2xsinx)/6x=1/2