Iphone 5c is stuck in recovery mode an will not get out?

It is an iphone 5c white, 32gig, an I was in the processes of playing a good game and it cuts off, was on 94% battery… Went to plug it in an all it did was bring up the apple logo an shut off, and kept doing that over and over again, so I plug it into iTunes on my laptop an put it into recovery mode and it tries to recover and it fails… It won't cut on at all ant it won't respond unless its plugged in, I tried dfu mode, soft reseting it, an everything, help?

1.Turn off your device. If you can't turn it off, press and hold the Sleep/Wake and Home buttons at the same time and wait a few seconds for it to turn off.
2.Plug the device's USB cable into your computer only.
3.Hold down the device's Home button as you connect the USB cable to it.
4. When you see the Connect to iTunes screen, release the Home button. If you don't see this screen, try steps 1 through 3 one more time.
5.Use iTunes to restore your device.