# Question: let a be a given positive constant and gx2xax2 a...

###### Question details

Let A be a given positive constant and
g(x)=2x-Ax^{2}

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 p_{0} is in that interval.