Problem on sequence of positive numbers


Assignment:

Let {x_n} be a sequence of positive numbers and suppose that he sequence {x_n+1/x_n} converges to L.

Suppose L <1. Prove that the sequence {x_n} converges to 0.

Provide complete and step by step solution for the question and show calculations and use formulas.

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Algebra: Problem on sequence of positive numbers
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