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Mathematics
Mathematics
Problem
For the function
p
(
x
)
=
7
e
2
x
−
5
3
e
2
x
+
1
p(x)=\dfrac{7e^{2x}-5}{3e^{2x}+1}
p
(
x
)
=
3
e
2
x
+
1
7
e
2
x
−
5
, evaluate each of the following limits and state any horizontal asymptote(s): (a)
lim
x
→
∞
p
(
x
)
\displaystyle\lim_{x\to\infty}p(x)
x
→
∞
lim
p
(
x
)
(b)
lim
x
→
−
∞
p
(
x
)
\displaystyle\lim_{x\to-\infty}p(x)
x
→
−
∞
lim
p
(
x
)
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