Let f(x) = 4 and f′(x) = 4. Then Limx→2 (x f(2) − 2 f(x)) / (x − 2) is given by

• Limits Continuity

Let f(x) = 4 and f′(x) = 4. Then Lim_x→2 (x f(2) − 2 f(x)) / (x − 2) is given by

1. -4
2. 2
3. 3
4. -2

Answer

Lim_x→2 (x f(2) − 2 f(x)) / (x − 2) can be written as

Lim_x→2 {f(2) − 2f'(2)}  [L' Hospitals Rule]

f(2) − 2f'(2) = 4 - 2×4 = −4

The correct option is A.