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PEN K Problems
28
K 28
K 28
Source:
May 25, 2007
function
Functional Equations
Problem Statement
Find all surjective functions
f
:
N
→
N
f: \mathbb{N}\to \mathbb{N}
f
:
N
→
N
such that for all
n
∈
N
n\in \mathbb{N}
n
∈
N
:
f
(
n
)
≥
n
+
(
−
1
)
n
.
f(n) \ge n+(-1)^{n}.
f
(
n
)
≥
n
+
(
−
1
)
n
.
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