4. (a) When s > 2 the basin of attraction of -infinity is the intervals (-infinity, 0) and (1, infinity), together with the (1/s, (s-1)/s), the pair of intervals (1/s2, (s-1)/s2) and ((s2-1)/s2, (s2-s+1)/s2), and so on. That is, in addition to (-infinity, 0) and (1,infinity), the basin of attraction of -infinity is the intervals removed in forming the Cantor set. (See Figure 4.42.)
(b) log(2)/log(s). See Problem 40 of Chapter 4.
Return to Exercises
