Droid Turbo 2 won't turn on

I was charging my phone using the charger that came with it.  Now it won't turn on.  I've tried other chargers and outlets, even tried the computer.  Nothing. I've had the phone for less than a month.  A few hours after I received it, it would shut off and restart numerous times.  I took it to the Verizon store and it had multiple software updates that needed to be done.  It's worked fine since then up until today.  Any suggestions to get it to turn on. 

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