## Zooming in

Zooming in on the iterated exponential map…

The representation of the solution of:

as a power series that has radius of convergence of , whereas the cardioid above delimits the convergence of the solution representation defined by the implicit equation, approximated by the nested/iterated exponential:

The zone of convergence is larger than series representation (note the graphic represents [-2,2]x[-2,2]

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Categories: Mathematica, Mathematics

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