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
Calculus