Question: Consider the iteration Working to 2dp, obtain the first three iterates. Then continue to obtain the following six iterates. From the numerical evidence what do

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.

= 2 + 30x - x 30 Xo = 1.5

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Xn1 2 30xnx30 n 01 2 15 149 148 3 4 5 6 7 148 147 147 146 146 x 2 30xx30 30x ... View full answer

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