Let {a} be a sequence of real numbers such that lima, a R. For each...

 

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Let {a} be a sequence of real numbers such that lima, a € R. For each nN let bn =an-an+1- 16-400 Consider the series Σ bn. 7=] (a) (b) (c) (d) Compute S, (the partial sum of the series Σbn-) n=1 Compute lim Sn 1148 Prove that b, converges and find its sum. Prove that 1 = n(n+1) converges and find its sum. Let {a} be a sequence of real numbers such that lima, a € R. For each nN let bn =an-an+1- 16-400 Consider the series Σ bn. 7=] (a) (b) (c) (d) Compute S, (the partial sum of the series Σbn-) n=1 Compute lim Sn 1148 Prove that b, converges and find its sum. Prove that 1 = n(n+1) converges and find its sum.

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Solution We CS b 2 then lim San h200 nxo lim Sn bn b... View the full answer