Let A be a given positive constant and g(x) = 2x Ax2. a. Show that if

Question:

Let A be a given positive constant and g(x) = 2x − Ax2.
a. Show that if fixed-point iteration converges to a nonzero limit, then the limit is p = 1/A, so the inverse of a number can be found using only multiplications and subtractions.
b. Find an interval about 1/A for which fixed-point iteration converges, provided p0 is in that interval.