Question: Suppose that x0 (-1, 0) and xn = xn-1 + 1 - 1 for n N. Prove that xn 0 as n

Suppose that x0 ∊ (-1, 0) and xn = √xn-1 + 1 - 1 for n ∊ N. Prove that xn ↑ 0 as n → ∞. What happens when x0 ∊ [- 1, 0]?

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