06/07/2022, 12:16 PM
For instance we could work with ( but yes i adviced faster ways )
t(r,x) = lim ( g(n,x)^[n] - x_n ) (x_n)^(n+r)
where g(n,x) is the inverse of f(n,x) ( with fixpoint x_n and derivative about 1 / (-x_n) * and exactly that at n = oo )
Such that t(r+1,x) = t(r,exp(x))
Basicly koenigs function.
t(r,x) = lim ( g(n,x)^[n] - x_n ) (x_n)^(n+r)
where g(n,x) is the inverse of f(n,x) ( with fixpoint x_n and derivative about 1 / (-x_n) * and exactly that at n = oo )
Such that t(r+1,x) = t(r,exp(x))
Basicly koenigs function.
