Question: Let {an} be a real sequence. Show that (a) If the ratio test implies that the series sigma(n=1,infinity) an converges, then so does the

Let {an} be a real sequence. Show that (a) If the ratio

Let {an} be a real sequence. Show that (a) If the ratio test implies that the series sigma(n=1,infinity) an converges, then so does the root test. (b) If the root test implies that the series sigma(n=1,infinity) an diverges, then so does the ratio test.

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