complex analysis – Is it possible that we construct sequence of poly nominal the limit of which is z^i on unit disc excluding (-1,0]

If D= unit disk (-1,0) is it possible to construct a sequence of polynomials such that lim p_{n}(z)= z^i when n goes to infinity for z in D?

I have to use Runge theorem this I know and we know that if a rational has pole at infinity then it’s a polynomial. Any help would be appreciated!