(Introductory Real Analysis) Trying to solve the following problem, not even sure where to start:

(Introductory Real Analysis) Trying to solve the following problem, not even sure where to start:

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\[\text{Given} \ x_1 > 4, \]\[x_{n+1}=\frac{1}{2}x_n+\frac{8}{x_n}\]

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