Iphone 5 won't turn on or charge? - 1

Ok so my iphone 5 ran out of battery today and when i got home i put it on the charger and i waited for around 20 minutes and it still didn't turn on. I clicked on the home button and it showed it was charging so i let it sit for another 10 minutes. When i tried clicking the power button or the home button it was no longer responsive. I also tried plugging it into my computer but that didn't work. Also i tried DFU mode and holding down the home and power simultaneously and still nothing, i can't reboot the phone and i have only had it for about 5 months. Only problem i have ever had. Please help!

Added (1). Now all of a sudden it says on my computer that the usb device is not recognized and that it malfunnctioned

Take it to the Apple Store, as this seems like a manufacturing defect, tell them what happened, and since it is withing 1 year warranty you should be able to get a free replacement.

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