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8
2016 Calculus #8
2016 Calculus #8
Source:
August 8, 2022
2016
Calculus Test
Problem Statement
Let
f
f
f
be a differentiable function such that
f
′
(
0
)
=
4
f'(0)=4
f
′
(
0
)
=
4
and
f
(
0
)
=
3
f(0)=3
f
(
0
)
=
3
. Compute
lim
x
→
∞
(
f
(
1
x
)
f
(
0
)
)
x
.
\lim_{x\rightarrow\infty}\left(\frac{f\left(\frac{1}{x}\right)}{f(0)}\right)^x.
x
→
∞
lim
(
f
(
0
)
f
(
x
1
)
)
x
.
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