Suppose that x0 > 2 and xn = 2 + xn-1 - 2 for n N.

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Suppose that x0 > 2 and xn = 2 + √xn-1 - 2 for n ∊ N. Use the Monotone Convergence theorem to prove that either xn → 2 or xn → 3 as n → ∞.
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