Question: An-1+ an-2 Let an = be sequence , a1 = 1, a2 2. Show that mono- tone convergence theorem cannot be applied here. What

An-1+ an-2 Let an = be sequence , a1 = 1, a2

An-1+ an-2 Let an = be sequence , a1 = 1, a2 2. Show that mono- tone convergence theorem cannot be applied here. What is the limit of this sequence? Show that it is Cauchy. Then find an increasing subsequence of it to find the limit.

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