Assume {a_n}>0 and {n→ ∞ } lim n{a_n}=L≠ 0. Prove that ?an diverges. Also prove that ?a


Question: Assume \({{a}_{n}}>0\) and \(\underset{n\to \infty }{\mathop{\lim }}\,n{{a}_{n}}=L\ne 0\). Prove that ∑an diverges. Also prove that ∑an converges if an >0 and \(\underset{n\to \infty }{\mathop{\lim }}\,{{n}^{2}}{{a}_{n}}=L\) exists.

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Solution: The answer consists of 1 page
Deliverable: Word Document

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