Will Apple Replace my Iphone that randomly stopped working?

I don't have my iPhone protected under warranty, but my phone stopped working for no reason.
At first it wouldn t turn on so I plugged it into iTunes and it told me to update my phone which I did. After that, it would turn on but the screen would immediately turn blue then restarts and continue on that cycle repeatedly. It stopped doing that after about 5 minutes so I thought it was okay and I went to sleep. When I woke up in the morning the screen was black and I plugged it into Itunes again where it said to restore my phone, but everytime I tried and error occurred and told me they could not restore it.

Yep typical apple. Just plug it into a wall outlet. Then just wait a few days. It just dosen't have battery

Not without warranty.

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