Consider the iteration Working to 2dp, obtain the first three iterates. Then continue to obtain the following

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Consider the iteration

= 2 + 30x - x 30 Xo = 1.5

Working to 2dp, obtain the first three iterates. Then continue to obtain the following six iterates. From the numerical evidence what do you estimate as the limit of the sequence? Assuming that the sequence has a limit near 1.5, obtain its value algebraically and then explain the phenomena observed above.

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