5 years later-version:
Today, there are JS libraries for you, if you don't want to get into the nitty gritty of the different methods described on this page.
On of these is https://github.com/hubspot/offline. It checks for the connectivity of a pre-defined URI, by default your favicon. It automatically detects when the user's connectivity has been reestablished and provides neat events like up and down, which you can bind to in order to update your UI.
