Question: If x1 < x2 are arbitrary real numbers and xn : = 1/2 (xn-2 + xn-1) for n > 2, show that (xn) is convergent.

If x1 < x2 are arbitrary real numbers and xn : = 1/2 (xn-2 + xn-1) for n > 2, show that (xn) is convergent. What is its limit?

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