1. Compute the orbit of i under F ( z ) = z 2 and describe its fate. 2. Compute the orbit of 2 i…

1.          Compute the orbit of i under F(z) = z2  and describe its fate.

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2.          Compute the orbit of 2i under F(z) = z2  and describe its fate.

3.          Compute the orbit of i/2 under F(z) = z2  and describe its fate.

4.          Which orbits of F(z) = z2  tend to infinity?

5.          Which orbits of F(z) = z2  tend to the origin?