How to do LIM ((TaNx SiNx) / x ^ 3) x - > 0

How to do LIM ((TaNx SiNx) / x ^ 3) x - > 0

Lim (x-->0)((tanx-sinx)/x^3)
=LIM (X -- > 0) (SEC & # 178; x-cosx) / (3x & # 178;) (Robida's law)
=LIM (X -- > 0) (2secx * secxtanx + SiNx) / (6x) (Robida's law)
=lim(x-->0)(2sec³x*sinx+sinx)/(6x)
=lim(x-->0)(2sec³x+1)/6*(sinx/x)
=1/2