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Section 10.5 : Special Series

2. Determine if the series converges or diverges. If the series converges give its value.

\[\sum\limits_{n = 1}^\infty {\frac{5}{{6n}}} \]

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Given that all three of the special series we looked at in this section are all pretty distinct it is hopefully clear that this is a harmonic series.

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So because this is a harmonic series we know that it will diverge.