MathDB
Problems
Contests
National and Regional Contests
Spain Contests
Spain Mathematical Olympiad
1975 Spain Mathematical Olympiad
2
2
Part of
1975 Spain Mathematical Olympiad
Problems
(1)
(1 +1/x)^x
Source: Spanish Mathematical Olympiad 1975 P2
12/23/2022
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.
function
analysis
algebra