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3. let a be a given positive constant and gx2xax2 a...

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

###### Question details

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.