Please be more specific as to what your particular problem is, and what you want to do to resolve it. Just saying "remove limited connectivity from LAN connection" is not particularly helpful in understading your real problem.
Your "limited connectivity" refers to the fact that your Windows system was not able to acquire and IP address from a DHCP server, but did configure itself with an Automatic Private IP Address (APIPA) address.
open up a command prompt. if in XP, go to start, click run, type in 'cmd'
if in vista, or win 7, go to start, and just type 'cmd'
a command window will open.
type the following (without quotations):
then when you can type again, type the following (without quotations):
see if that works for you. ipconfig/release is a command that essentially wipes all internet connectivity including IP address, gateway, etc...
ipconfig/renew refreshes all that information... basically, it's like pressing the reset switch on your internet connection.