a fixed point is a point where x=f(x)
In this case
x= x^2+13/12x - 1/2 solve for x.
gradient of attraction: when gradient is +
http://mathworld.wolfram.com/FixedPoint.html
Fixed points of f?
f(x) = x^2+13/12x - 1/2
a) use algebra to find the fixed points and classify them.
b) use the gradient criterion to determine an interval of attraction for one of the fixed points of f
c) find exact values of the 2nd and 3rd terms of the sequence xn obtained by iterating f with initial term x0= 0 (express your answer as fractions in their lowest terms) State the long term behaviour of this sequence.
Thank for your help with this!
2 answers
Can someone please help answering the last part of the question I'm stuck:
c) find exact values of the 2nd and 3rd terms of the sequence xn obtained by iterating f with initial term x0= 0 (express your answer as fractions in their lowest terms) State the long term behaviour of this sequence.
c) find exact values of the 2nd and 3rd terms of the sequence xn obtained by iterating f with initial term x0= 0 (express your answer as fractions in their lowest terms) State the long term behaviour of this sequence.