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Mathematics
Mathematics
Problem
15. Let I be any interval disjoint from
[
−
1
,
1
]
[-1,1]
[
−
1
,
1
]
. Prove that the function
f
f
f
given by
f
(
x
)
=
x
+
1
x
f(x)=x+\frac{1}{x}
f
(
x
)
=
x
+
x
1
is increasing on I .
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