Demonstrate:

$\displaystyle

\

\sum\limits_{k = 1}^n {\frac{1}{k}}

\

$

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$\displaystyle \sum\limits_{k = 1}^n {\frac{1}{k}} = \frac{1}{1}+\frac{1}{2}+\frac{1}{3}+ \cdot \cdot \cdot + \frac{1}{n}$

This is an infinite series (harmonic series) whose terms are unit fractions.

Look here for more detail: Harmonic series (mathematics - Wikipedia, the free encyclopedia)

- Aug 21st 2008, 06:11 AM #5

- Aug 21st 2008, 08:11 AM #6