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\text { 3. (12 points) Consider the sequence }\left\{\frac{r^{n}}{n}\right\} \text { for } r \text { a real number: } a. Explain why the sequence is not monotonic for r

< 0. b. Show that the sequence is increasing for r >= e. C.Show that the sequence is decreasing for 0 < r <= 1. d.For what values of r is the sequence convergent? е. For what values of r is the sequence divergent?

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