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Math Help - Sum

  1. #1
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    Sum

    Demonstrate:
    <br />
\<br />
\sum\limits_{k = 1}^n {\frac{1}{k}} <br />
\<br /> <br />
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  2. #2
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    Quote Originally Posted by Ortega View Post
    Demonstrate:
    \<br />
\sum\limits_{k = 1}^n {\frac{1}{k}} <br />
\
    Please complete the question. Demonstrate what?
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  3. #3
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    Quote Originally Posted by Plato View Post
    Please complete the question. Demonstrate what?
    i wanna say:calculate the sum...
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  4. #4
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    Quote Originally Posted by Ortega View Post
    Demonstrate:
    <br />
\<br />
\sum\limits_{k = 1}^n {\frac{1}{k}} <br />
\<br /> <br />
    \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)
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  5. #5
    Moo
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    Quote Originally Posted by masters View Post
    \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 ?
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  6. #6
    A riddle wrapped in an enigma
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    Quote Originally Posted by Moo View Post
    Infinite ?
    Sorry! Only if n = \infty
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