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The Harmonic Series 1n\sum \frac{1}{n} DivergesWe Can Form a New Series from the Difference Between

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The harmonic series 1n\sum \frac{1}{n} diverges.We can form a new series from the difference between consecutive terms of the harmonic series obtaining [1n+11n]\sum\left[\frac{1}{n+1}-\frac{1}{n}\right] . This series also diverges.

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