Will Allah forgive repeatedly apostating?

Would Allah (Swt) forgive the one who repeatedly apostates? Is the one who does that doomed forever? 

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@peepso_user_6(MZZK)
If he dies upon apostasy then his abode is hellfire for eternity, its the end result that matters.
If after so many times of becoming a murtad ( without the authorities knowing or islamic ruler or judge- as that would lead to death penalty ) he comes back to islam with strong faith and complete submission with clearing all his doubts of islam or having no ill intention or doubts against islam, or Allāh then he will die upon tawheed and will enter paradise at the day of judgement.

و الله اعلم