Find the following when limit x approaches 0:

(cos 2x - cos 3x)/ x^2.

Please help, thanks.

lim (cos 2x - cos 3x)/x²
=lim [2sin(x/2)sin(5x/2)]/x²
=lim (5/2)[sin(x/2)/(x/2)][sin(5x/2)/(5x/2)
=(5/2)