Limit Problems

i) L Hopital's Rule

x->0 (1-cos6x)/x^2

= x->0 (6sin6x)/2x
= x->0 (36cos6x)/2 = 18

ii)

x->pie/3 (sin(x) - sin(pie/3))/(x-(pie/3))

= x-> pie/3 (cos(x) / 1)
= cos (pie/3)

Or something like that...just sucessively take the derivatives of the top and bottom until it's something solvable.