Answer:
5
Step-by-step explanation:
Since, the function f(x) is continuous at x=3.
Therefore,
· k=lim
x→ 3
· x−3
(x+3)
2
−36
· k=lim
x→ 3
· x−3
(x+3)
2
−6
2
· k=lim
x→ 3
· x−3
(x+3−6)(x+3+6)
· k=lim
x→ 3
· x−3
(x−3)(x+9)
· k=lim
x→ 3
· (x+9)
k=3+9=12
