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in this question f is the function.

f(x) = x^2 + (13/12)x - 1/2

a) use algebra to find the fixed points of f, and to classify them as attracting repelling or indifferent.

b) use the gradient criterion to determine an interval of attraction for one of the fixed points of f

c)find the exact values of the 2nd and 3rd terms of the sequence xn obtained by iterating f with initial term xo=0 (express answers as fractions in there lowest terms) hence state the long term behaviour of this sequence, explaining your reasoning.

in this question f is the function.

f(x) = x^2 + (13/12)x - 1/2

a) use algebra to find the fixed points of f, and to classify them as attracting repelling or indifferent.

b) use the gradient criterion to determine an interval of attraction for one of the fixed points of f

c)find the exact values of the 2nd and 3rd terms of the sequence xn obtained by iterating f with initial term xo=0 (express answers as fractions in there lowest terms) hence state the long term behaviour of this sequence, explaining your reasoning.

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