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Mathematics
Mathematics
Problem
The function
f
f
f
is defined by
f
(
x
)
=
p
x
2
+
5
x
2
x
2
+
1
f(x)=\dfrac{px^{2}+5x}{2x^{2}+1}
f
(
x
)
=
2
x
2
+
1
p
x
2
+
5
x
. For what value of
p
p
p
does
lim
x
→
∞
f
(
x
)
=
4
\displaystyle \lim_{x\to\infty} f(x)=4
x
→
∞
lim
f
(
x
)
=
4
? a)
7
7
7
b)
4
4
4
c)
8
8
8
d)
12
12
12
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