Question: 4. Suppose that _ an converges, with each an > 0, and let In = k=n for each n E N. Show that (a) the

4. Suppose that _ an converges, with each an > 0,

4. Suppose that _ an converges, with each an > 0, and let In = k=n for each n E N. Show that (a) the sequence { } is decreasing, with limit 0. (b) E an 'n converges. (c) 2 TR an diverges. [Mint: Show that the sequence of partial sums for this series is not Cauchy.]

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