Harmonic series

Calculus Level 1

Note that 1n0\frac{1}{n} \rightarrow 0 as n.n\rightarrow \infty. What is the sum of this series?

n=11n=1+12+13+14+15+ \sum_{n=1}^\infty \frac1n = 1 + \frac12 + \frac13 + \frac14 + \frac15+ \cdots

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