The "genuine" Apple branded charging cable that came with my iPhone 5 just died. The phone is about three months old. Bought it through Verizon. I have AppleCare. What are the odds of my being successful in getting Verizon or Apple to replace this cable at no cost to me? $19 cable, apparently, and it's a thin, short cable, probably costs $1.50 to manufacture somewhere in the bowels of China.