Question: Suppose that a series o an has positive terms and its partial sums s n satisfy the inequality s n < 1000 for all n.

Suppose that a series o an has positive terms and its partial sums s_n satisfy the inequality s_n < 1000 for all n. Explain why ∑a_n must be convergent.

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The partial sums s form an increasing sequence since sSn1 an 0 for all n Also the sequence s ... View full answer

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