| 1. Here are the first 10 iterates of (a) |
| -1.75 |
| 1.3125 |
| -0.0273437 |
| -1.74925 |
| 1.30988 |
| -0.0342048 |
| -1.74883 |
| 1.30841 |
| -0.0380725 |
| -1.74855 |
| The iterates appear to be converging to a 3-cycle, so
we deduce |
| Here are the first 10 iterates of (b) |
| -0.1 + i |
| -1.09 + 0.8 i |
| 0.4481 - 0.744 i |
| -0.452742 + 0.333227 i |
| -0.0060647 + 0.698268 i |
| -0.587541 + 0.99153 i |
| -0.737928 - 0.16513 i |
| 0.41727 + 1.24371 i |
| -1.4727 + 2.03792 i |
| -2.0843 - 5.00248 i |
| By z9 we see the iterates are farther than 2 from
the origin. Consequently |
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