Iphone stuck on connect to itunes screen?

My iphone 5 is stuck on the connect to itunes screen. When i hold power/home button and apple logo appears, i let go of power button, but continue to hold the home button, but it goes back to the screen with connect to itunes. What should i do? I didn't try to jail break. I tried to restore phone from itunes and then it said something like iphone couldnt restore

Added (1). The phone also doesn't show up in itunes whne i connect it

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Put in recovery mode, not dfu mode there's a big difference.
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