Verified answer

lim h→0 (2+h)^2 - (4)/(h)

= lim h→0 [4 + 4h + h^2 - 4]/h

= lim h→0 [4h + h^2]/h

= lim h→0 (4 + h)

= 4

[4 + 4h + h^2 - 4]/h = [4h+h^2]/h = [4+h]

plug in 0 you get 4.

The answer is 4.