IPhone 5 LTE suddenly isn't working?

I just got the iPhone 5 a few days ago. I've been in my house using snapchat, safari, and instagram on my phone for the past few hours. Suddenly, everything stopped working. I'm unable to refresh anything and I can't seem to connect to anything. The thing is, it says I have LTE at the top of the iPhone, so I don't know what the problem is. I don't know what changed nor how to fix it.

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