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!
Well I have solved it and then applied the quadratic formula:
which is
....so is what I have done correct in terms of finding fixed points? It feels wrong as I have only found the x-axis intersection...I'm a bit lost on this one... my book does not explain this clearly... thanks for your help!