I have the function $f(z) = \sqrt z + C.$
For the value of $C = i$ (complex number), would the iterates be bounded or not?
Iterating from $z = 0: f(0) = i, f(i) = \sqrt i + i$ and it goes on, getting more difficult to read as it progresses.
2026-03-26 06:03:43.1774505023
Are the iterates of this function bounded?
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