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Mathematics
Problem
Which one of the following functions approaches a non-zero finite constant as
x
→
∞
x\to\infty
x
→
∞
? a)
6
x
3
−
2
x
3
+
5
\dfrac{6x^{3}-2}{x^{3}+5}
x
3
+
5
6
x
3
−
2
b)
4
x
+
1
x
2
+
3
\dfrac{4x+1}{x^{2}+3}
x
2
+
3
4
x
+
1
c)
2
−
5
x
2
7
−
x
\dfrac{2-5x^{2}}{7-x}
7
−
x
2
−
5
x
2
d)
9
+
x
4
x
2
−
3
\dfrac{9+x^{4}}{x^{2}-3}
x
2
−
3
9
+
x
4
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