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(Solved): Help with question 7 and 8 please 7. Show that the series k=1(cosk) is divergent, but k=1 ...



7. Show that the series \( \sum_{k=1}(\cos k) \) is divergent, but \( \sum_{k=1}\left(\frac{\cos k}{k}\right) \) is convergen

Help with question 7 and 8 please

7. Show that the series is divergent, but is convergent. 8. By using partial fractions, show that for each . 9. Can you give an example of a convergent series and a divergent series such that is convergent? Explain.


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