lim(as p-->4) of (p^3 - 64) / (4-p)

Question

My work:

p^3 - 64 = (p-4)(p^2 + 4p + 16)
4 - p = -(p-4)

((p-4)(p^2 + 4p + 16)) / -(p-4)

p-4 cancels out

-(p^2 + 4p + 16)
-((4)^2 + 4(4) + 16)
-(16 + 16 + 16)
- 48

Is this right?

Answer 1

looks good to me