A note on the connectedness locus of the families of polynomials Pc(z)=z n - cz n-j

let j be a positive integer. for each integer n > j we consider the connectedness locus mn of the family of polynomials pc(z) = zn - czn-j, where c is a complex parameter. we prove that limn→∞ mn = d in the hausdorff topology, where d is the unitary closed disk {c;|c|<1}.