Please help me to find the limit of this sequence :
$ u_0=-2017\;$ and $\; u_{n+1} =e^{u_n}+u_n $
I don't know if the limit exist or not.
2026-03-27 22:55:20.1774652120
The limit of a sequence $u_{n+1}=\exp(u_n)+u_n$
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If the limit $l$ exists, $l=e^l+l$ implies $e^l=0$ impossible.