Answer:
60.
Step-by-step explanation:
(x^2 - 25) / (√(x + 4) - 3).
We rationalise the expression by multiplying top and bottom of the fraction by the complement of the denominator.
That is by (√(x + 4) + 3):
(x^2 - 25)(√(x + 4) + 3)
= ------------------------------------
(√(x + 4) - 3)(√(x + 4) + 3)
= (x + 5)(x - 5)(√(x + 4) + 3)
----------------------------------
(x - 5)
= (x + 5)(√(x + 4) + 3).
The limit as this---> 5
is (5 + 5)(√(5 + 4) + 3)
= 10 * 6
= 60.
