hi I need some help understanding the hint this exercise gives:
is the fixed point of in .
I dont understand why it suffices to find the c-values the hint points to guarantee the conclusion for
We need to prove that for all .
It is easy to see that it is true for
To prove it for it is suggested to investigate which values of c
My question is:
Why it suffices to find the values of c which satisfy to show that for ?
In other words, why does the hint "works" ?