Will not turn on or charge

I haven't done any replacements and it hasn't been opened. It randomly turned off and will not turn back on, charge, and is not recognized in iTunes when connected to the computer. I have tried to restart it by holding the home and lock buttons at the same time and trying to put it in recovery mode without any success. Is there anything I can do or should I just look into getting another one?

Thanks for any helpful information in advance!