Question: Let x1 > 2 and xn+1 := 1 +xn - 1 for n N. Show that (xn) is decreasing and bounded below by 2.

Let x1 > 2 and xn+1 := 1 +√xn - 1 for n ∈ N. Show that (xn) is decreasing and bounded below by 2. Find the limit.

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