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!

  1. 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

  2. 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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