Q: APPLE TV

Has it ever worked?

iOS: Use AirPlay Mirroring

http://support.apple.com/kb/ht5209

iOS: Use AirPlay to wirelessly stream content

http://support.apple.com/kb/ht4437

iOS: Troubleshooting AirPlay and AirPlay Mirroring

http://support.apple.com/kb/TS4215

Try this  - Reset the iPad by holding down on the Sleep and Home buttons at the same time for about 10-15 seconds until the Apple Logo appears - ignore the red slider - let go of the buttons. (This is equivalent to rebooting your computer.) No data/files will be erased. http://support.apple.com/kb/ht1430

 Cheers, Tom