Question Number 103236 by Dwaipayan Shikari last updated on 13/Jul/20

e^e^(e.....∞)  =?

Commented byDwaipayan Shikari last updated on 13/Jul/20

e^e^e^e^e^(..........)     =y  e^y =y  e^(−y) =(1/y)  −ye^(−y) =−1  −y=W_0 (−1)  y=−W_0 (−1)=0.3181−1.333i

Commented bymr W last updated on 13/Jul/20

=∞

Commented bymr W last updated on 13/Jul/20

you applied the same method as  with  1+1+1+...=−(1/2)