Real Slice of Mandelbrot set
I'm trying to prove that the real slice of a Mandelbrot set is M n R =[-2,1/4]
I've tried researching it on the internet but everything I find seems to just state this and not prove it.
The hint I've been given to start is is to let
(1/4, 
) proving that for each 
that -z $\geq$ c -)
1/4
where = z^2+c)
Any help would be greatly appreciated
Re: Real Slice of Mandelbrot set
What you have written makes no sense. For any real number c, fc(z)- z is a complex number. You cannot say it is "larger than c- 1/4, a real number.
Perhaps you meant - z\right|\ge c- \frac{1}{4})
?
