Are you able to access the INTERNET OK or are you unable to connect?
I can remember that I used to sometimes get the Limited connectivity (I think it was on XP) but I could still access the Internet OK.
If your computer and router were switched off then I don't think that the tripped fuse would be the cause.
You could try this:
At the bottom right of your screen, you should see what looks like two monitors with a globe in between them, see the below link to a picture of what I am describing,
If you right click on this and choose from the menu DIAGNOSE & REPAIR and see if this can detect/sort out the problem.