All the help I can offer is obviously you need to get the internet back and running on your laptop in order for your Xbox Live to work.
"Limited or No Connectivity" - means that your either having a really really weak signal or you have no connectivity (just stating the obvious)
"This problem occured because the network did not assign a network address to the computer" - Something wrong with the wireless details that have been input into the laptop. So do what I suggested is input all the wireless details in your laptop again (yes I know you haven't changed a thing but do it just in case).
Doesn't work? then
Disconnect the Xbox from your laptop and see if the internet works just to make sure it's not because of the Xbox.
If it's still not working move your ass next to that router and connect the laptop in using an Ethernet cord to check its not the laptops fault.
If it's perfectly fine then check the wireless settings and information on your router and re-enter the wireless settings and information you need to used to connect the laptop to the router again. It should work and if not then chuck a hissy fit and hope the next person that posts can help you.
If the Ethernet connection to your laptop fails then it is something wrong with your modem or internet connect. I suggest you contact your ISP unless someone else on here can help you.
Posted on Wednesday, 22nd October 2008