Yes, because the Prophet salla Allahu alaihi wa sallam said so.

Is the punishment for apostosy death. if yes why?

Apostasy | January 25, 2014 3:44 pm
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I know a brother who used to be Muslim, but he became an atheist due to immense waswas, which he couldn’t handle
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What is the panelty on a person who change his religion from islam to some other religion ?