The sin (x-thirds) of x approaches the limit of 1-2cosx

The sin (x-thirds) of x approaches the limit of 1-2cosx

The original formula = LIM (x - > π / 3) [cos (x - π / 3) / (2sinx)] (0 / 0 type limit, applying the law of Robida)
=cos(π/3-π/3)/(2sin(π/3))
=1/(2*(√3/2))
=√3/3.