We have to find the value of lim h-->0[[(3+h)^2-9]/h]

lim h-->0[[(3+h)^2-9]/h]

=> lim h-->0[[(3 + h - 3)(3 + h + 3)/(3 + h - 3)]

cancel (3 + h - 3)

=> lim h-->0[[(3 + h + 3)]

substitute h = 0

=> 6

**The required value of lim h-->0[[(3+h)^2-9]/h] = 6**