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+--- Thread: x^2 - x vs x^2 (/showthread.php?tid=684)
x^2 - x vs x^2 - tommy1729 - 07/29/2011
consider
f(a,n) = f(a,n-1)^2 - f(a,n-1)
g(b,n) = g(b,n-1)^2
lim n = oo f(k(b),n) = g(b,n)
notice k(1) =/= 2 because of the upper fixpoints of f (fixpoint x^2 - x) and g (fixpoint x^2) but approaches it.
does k(x+1) have a positive radius when expanded at x = 0 ?
regards
tommy1729