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Mathematics
Problem
Which one of the following rational functions approaches a finite non-zero value as
x
→
∞
x\to\infty
x
→
∞
? a)
5
x
2
−
4
3
x
4
+
2
\dfrac{5x^{2}-4}{3x^{4}+2}
3
x
4
+
2
5
x
2
−
4
b)
2
x
3
−
1
5
x
4
+
7
\dfrac{2x^{3}-1}{5x^{4}+7}
5
x
4
+
7
2
x
3
−
1
c)
4
x
2
+
3
x
2
−
6
\dfrac{4x^{2}+3}{x^{2}-6}
x
2
−
6
4
x
2
+
3
d)
6
−
x
x
3
+
4
\dfrac{6-x}{x^{3}+4}
x
3
+
4
6
−
x
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