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Romanian District Olympiad
Romanian District Olympiad
Source: Grade XI
March 17, 2010
function
inequalities
real analysis
real analysis unsolved
Problem Statement
Let
f
:
R
→
R
f: \mathbb{R}\rightarrow \mathbb{R}
f
:
R
→
R
a strictly increasing function such that
f
∘
f
f\circ f
f
∘
f
is continuos. Prove that
f
f
f
is continuos.
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