such that 
for all reals 
.
be real numbers less than 2.Then prove that 
be the sequence of all natural numbers which are sum of squares of two natural numbers.
which 
.
intersect at 
,
tangent to the extensions of 
at 
respectively. Circle 
passes through points 
,
.
.
Y by
Given a real number 
such that 
(where 
), and a functional equation 
that satisfies 
for all , has a finite number of solutions. Find such .
(Here,
is the function obtained by composing 
times, that is, 
)
such that 
(where 
), and a functional equation 
that satisfies 
for all , has a finite number of solutions. Find such .(Here,
is the function obtained by composing 
times, that is, 
)This post has been edited 2 times. Last edited by steven_zhang123, Mar 30, 2025, 2:03 PM
