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Mathematics
Problem
For large positive values of
x
x
x
, which of the following correctly orders the functions in increasing magnitude? a)
x
2
<
2
x
<
x
3
x^{2} < 2^{x} < x^{3}
x
2
<
2
x
<
x
3
b)
x
3
<
2
x
<
x
2
x^{3} < 2^{x} < x^{2}
x
3
<
2
x
<
x
2
c)
x
2
<
x
3
<
2
x
x^{2} < x^{3} < 2^{x}
x
2
<
x
3
<
2
x
d)
2
x
<
x
3
<
x
2
2^{x} < x^{3} < x^{2}
2
x
<
x
3
<
x
2
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