1. ## Sum

Demonstrate:
$\displaystyle \ \sum\limits_{k = 1}^n {\frac{1}{k}} \$

2. Originally Posted by Ortega
Demonstrate:
$\displaystyle \ \sum\limits_{k = 1}^n {\frac{1}{k}} \$
Please complete the question. Demonstrate what?

3. Originally Posted by Plato
Please complete the question. Demonstrate what?
i wanna say:calculate the sum...

4. Originally Posted by Ortega
Demonstrate:
$\displaystyle \ \sum\limits_{k = 1}^n {\frac{1}{k}} \$
$\displaystyle \sum\limits_{k = 1}^n {\frac{1}{k}} = \frac{1}{1}+\frac{1}{2}+\frac{1}{3}+ \cdot \cdot \cdot + \frac{1}{n}$

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

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

5. Originally Posted by masters
$\displaystyle \sum\limits_{k = 1}^n {\frac{1}{k}} = \frac{1}{1}+\frac{1}{2}+\frac{1}{3}+ \cdot \cdot \cdot + \frac{1}{n}$

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

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

6. Originally Posted by Moo
Infinite ?
Sorry! Only if n = $\displaystyle \infty$