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PEN K Problems
3
K 3
K 3
Source:
May 25, 2007
function
induction
Functional Equations
Problem Statement
Find all 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
+
1
)
>
f
(
f
(
n
)
)
.
f(n+1) > f(f(n)).
f
(
n
+
1
)
>
f
(
f
(
n
))
.
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