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-A Complex Number zz Does Not Belong to the Mandelbrot Set If Any of Mandelbrot

question 151

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Solve.
-A complex number zz does not belong to the Mandelbrot set if any of the complex numbers in the sequence z,z2+z,(z2+z) 2+z,[(z2+z) 2+z]2+z,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=3z = 3 belong to the Mandelbrot set?

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Definitions:

Hidden Costs

Expenses not readily apparent at the time of purchase or decision-making, which can make a product or service more expensive than initially thought.

Cognitive Dissonance

A psychological state of tension that occurs when an individual holds two conflicting thoughts, beliefs, attitudes, or values at the same time.

Techniques of Persuasion

Methods or strategies used to convince or influence others to change their attitudes, beliefs, or actions.

Compliance

The act of conforming to or following rules, standards, or laws.

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