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Using the recursion formula an+1 = (3an - 2)^1/2, with a1 = 4/3, do the following...

Using the recursion formula an+1 = (3an - 2)^1/2, with a1 = 4/3, do the following by induction.

a. Show the sequence { an } is monotone increasing.

b. Show the sequence is bounded above by 2.

c. Evaluate the the limit of the sequence.

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