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Mathematics
Problem
Let
f
(
x
)
=
2
x
2
+
3
x
−
5
x
−
1
f(x)=\dfrac{2x^{2}+3x-5}{x-1}
f
(
x
)
=
x
−
1
2
x
2
+
3
x
−
5
, where
x
≠
1
x\neq1
x
=
1
. Which of the following gives the end behavior of
f
f
f
as
x
→
∞
x\to\infty
x
→
∞
? a)
2
x
−
5
2x-5
2
x
−
5
b)
2
+
7
x
2+\dfrac{7}{x}
2
+
x
7
c)
2
x
+
5
2x+5
2
x
+
5
d)
2
x
2x
2
x
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