Demons

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I just finished this masterpiece
But i just can't see the point of the very end

!SPOILER AHEAD!

I get what Kririlows idea was about, camus made that very clear in myth of sysiphus, but what was Stawrogins motive to kill himself ?
In his final letter he claimed he could never kill himself because it would be just another of his lies.
So what does his suicide mean in the context of the book ?

Unfortunately, I can't quote because I read it in German, sorry about that.