Can the limit comparison test work on alternating series? I looked at the conditions online and it said that the series a_n and b_n must be > 0 in order to use it. To be specific it said, "Suppose that a_n > 0 and b_n>0 for all n> or = to N (N a positive integer)." I asked my teacher about this and he said that it does work, and yet.... I don't know. Maybe I misinterpreted the conditions.