math
posted by Chamberlain
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!

bobpursley
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 
Chamberlain
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.
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