Can someone explain how setting x = -2 in the zeta function results in the function converging to 0? The first term = 1, the second = 4, the third = 9, etc. How can the sum of the squares add up to 0? Another mystery (at least to me): setting x = -1 results in the value -1/12? The zeta function is the sum of 1/(n^s) for n = 1 to infinity, is it not?