Question: If (an) is a bounded decreasing sequence and (bn) is a bounded increasing sequence and if xn := an + bn for n N, show

If (an) is a bounded decreasing sequence and (bn) is a bounded increasing sequence and if xn := an + bn for n ˆˆ N, show that is convergent.

|Xn – Xp+1|

|Xn Xp+1|

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