Why won't my iPhone 5 charge?

I had my phone charging all night and when I woke up it was at 35%. Sometimes it will charge and sometimes it won't. A little over a week ago it kept turning off on me.

Is there anything I can to do try and fix it?
Is this a common iPhone 5 problem?
Should I take it to Verizon or Apple?

If your still under your year warranty take it to apple

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