Limit problem

1. Oct 25, 2008

Revelation

i dont know latex so i'm going to write limit this form: lim x->pi/6 (2cosx-sqrt3)/sin(pi/6-x)

i tried to expand denominator as sinxcosx-cosxsinx and tried to make numerator as 2(cosx-sqrt3/2) but nothing. Any help would be appreciated.

Thanks.

2. Oct 25, 2008

Hootenanny

Staff Emeritus
HINT: Both the numerator and denominator approach zero as x tends to $\pi/6$.