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Spain Mathematical Olympiad
1975 Spain Mathematical Olympiad
2
(1 +1/x)^x
(1 +1/x)^x
Source: Spanish Mathematical Olympiad 1975 P2
December 23, 2022
function
analysis
algebra
Problem Statement
Study the real function
f
(
x
)
=
(
1
+
1
x
)
x
f(x) = \left(1 +\frac{1}{x}\right)^x
f
(
x
)
=
(
1
+
x
1
)
x
defined for
x
∈
R
−
{
−
1
,
0
}
x \in R - \{-1, 0\}
x
∈
R
−
{
−
1
,
0
}
. Graphic representation.
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