Please help!!! With limits math!?

Question

1) lim[x→8] (x2 − 5)/(x − 8) = ?
2) lim[x→−9] (x2 + 4)/(x + 9) = ?

Answer 1

1)

       (Substitute x = 8 in the limit function)

        ( Simplify)

              ( Denominator = 0, undefined)

 

Answer 2

2)

                (Substitute x = -9 in the limit function)

                         ( Simplify)

                            ( Denominator = 0, undefined)

.

 

Answer 3

1)

From the L' hospital rule

Evaluting this at x = 8

2)

From the L' hospital rule

Evaluting this at x = - 9