Harmonic series

Calculus Level 1

Note that \(\frac{1}{n} \rightarrow 0\) as \(n\rightarrow \infty.\) What is the sum of this series?

\[ \sum_{n=1}^\infty \frac1n = 1 + \frac12 + \frac13 + \frac14 + \frac15+ \cdots \]

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