. Suppose a, r E C with a * 0. Using Newton's Binomial Theorem, we can expand (z + a)" as a more or less Laurent series as follows: ( z ta)" = z" + raz"-at r (r - 1) a2 2r - 2 + r(r - 1)(r - 2) 3 ,r-3 + ... 2 6 OO a n = Z n= n= Find the region within which this series converges absolutely