Solve
-A Complex Number $z$ Does Not Belong to the Mandelbrot Set If Any of Mandelbrot

question 151

Multiple Choice

Solve.
-A complex number $z$ does not belong to the Mandelbrot set if any of the complex numbers in the sequence $z , z ^ { 2 } + z , \left( z ^ { 2 } + z \right) ^ { 2 } + z , \left[ \left( z ^ { 2 } + z \right) ^ { 2 } + z \right] ^ { 2 } + z , \ldots$ has modulus exceeding 2. Does $z = 3$ belong to the Mandelbrot set?

• A) Yes
• B) No

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