**james@umcp-cs.UUCP** (09/18/83)

No, x(n) -> infinity means (definition of divergence to infinity) that for any (big) M, integer, there exists N, integer such that x(n) > M whenever n > N. This means that the sequence has to exceed, AND REMAIN GREATER THAN, any large number M. --Jim

**leimkuhl@uiuccsb.UUCP** (09/21/83)

#R:umcp-cs:-263600:uiuccsb:9700007:000:176 uiuccsb!leimkuhl Sep 20 09:56:00 1983 You are almost correct. You have actually defined "convergence to infinity." Divergence, not "divergence to infinity" means only that the given sequence does not converge.