Mandelbrot

Question

Answer 1

(a)

w = -i

w can be written as w = 0 + (-1)i

Magnitude of w = 

Since w < 2 ,  w is a Mandelbrot sequence .

Answer 2

(b)

w = -1+i

Magnitude of w = 

Since w < 2 ,  w is a Mandelbrot sequence .

 

Comments

Slight correction, if any nth value of |z| is > 2 then w is not in the mandelbrot set. In this case for the second iteration, |-1+3i| is > 2 therefore w is not in the mandelbrot set.