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September 28th, 2018, 12:54 PM   #1
htg
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Joined: Sep 2018
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Question Taylor series of a half-exponential function

Can anyone help me with finding the Taylor series of f(.) such that f(.) is analytic on the real line and f(f(x)) = 2^x ?
The graph of f(x) has a horizontal asymptote y = a, a<0.
f(a) = 0.
My email: htg@interia.pl
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