Hausedorff convergence from polynomials to a transcendental entire function.
f_{n}(z) = (1-a/n)z + (1+z/n)^{n+1} - a to f(z) = z + exp(z) - a
f_{n}(z) = -2(1+z/2^{n})^{2^{n}+2) + (1+1/2^{n-1})z^{2}/2^{n} + 2(1+1/2^{n-1})z + 2 to f(z) = 2 + 2z - 2exp(z) (Bergweiler's example)
