5. (b) The fixed points are the solutions of xn = xn+1 = xn3, so 0, -1, and 1.
(c) The point x = 0 is stable, the other two are unstable.
(d) The basin of attraction of x =0 is
(e) Of course, x = -1 and x = 1 are fixed points. Any point x > 1 iterates to +infinity; any point x < -1 iterates to -infinity.
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