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x is real number. How can I solve this equation system?
Hi
Let the sequence defined by the value of and where
I am just considering the restriction of f over since it is similar over . You can show that f is decreasing up to and increasing after and
Moreover and
This means that at least from n=2
You can show by induction that
Then
is decreasing (at least from n=2) and higher than therefore converges towards the solution of f(x) = x which is
The only way to get a stationary sequence is
The same for