For a continuous and differentiable func

Question

For a continuous and differentiable function f
given, selected values of the function and its
derivatives at x = 4 are given in the table below.
X
X
f(x)
f'(x)
C
f"(x)
f
4
2
0
6
In evaluating the limit,
lim
f(x) – 2
(x – 4)3
x +4
3
...which of the following statements is true?

Kunduz · Accepted Answer

Solution:
l =
flas-2
lim.
U 4
(x-4)3
lim.
-
flu) = 2
as
f(x) - f (4)
(x-4)3
3
14
fix - f14)
lim
x 4
(2-4)(x-4) 2
lim. f (4+ (x-4))
f -
F(4)
(x-4)
X
(0-4) 2
X 4
fu
lim
t' (4)
X
(x-4)2
X 4
lim.
Il
X4 (2-4)2
{o exact o upon
tending to is
0]
O
lim.
x 4
0

For a continuous and differentiable function f given, selected values of the function and its derivatives at x = 4 are given in