Apple Logo Loop with Battery Disconnected

So, I have the Apple Logo Loop going on when it is plugged into the computer or power outlet and the screen goes black when disconnected.

I was able to start the iphone a couple times and get it to charge to 100%. I then turned the iphone on and off multiple times and even did a restore to the latest firmware. But then it died again.

I have opened the iphone up and disconnected the battery from the main board. I plugged it into the computer and the apple logo still flashes. Does this mean that the battery is fine and that it is the dock connector that is damaged or motherboard?

Thanks!