Check out the TCP/IP Guide and the page that discusses DHCP Lease Lifecycle. This will help you understand the DHCP protocol and address lifecycle. An infinite address lease would be considered a static or a reserved address. It depends on the client and how the tcp/ip stack handles address lifecycle as to whether you will lose your connection or not. Windows behavior is that clients typically keep a “sticky” address and do not lose it unless either statically assigned or another DHCP server responds.