Alright, I recently bought an iPhone 3G from a guy at my school for 80 bucks. When I brought it home and plugged it into my computer, it didn't charge. I got ripped off. Then I plug my USB connector into an apple wall to USB Charger and it charged up. It keeps displaying the connect to iTunes picture. When I tried unplugging it to plug into my computer then it turns off leaving a faint picture behind, like the connect to iTunes picture is burnt on there. After about a minute or so, the image goes away like that. Not like fade away, it just disappears. Is the battery dead or something?