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Thread: demonst.

  1. September 24th 2008, 12:41 PM #1
    Ortega
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    demonst.

    Demonstrate that:
    \<br /> \ln n < \sum\limits_{k = 1}^n {\frac{1}{k}} < \ln (n + 1)<br /> \<br />
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  2. September 24th 2008, 12:59 PM #2
    ThePerfectHacker
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    Quote Originally Posted by Ortega View Post
    Demonstrate that:
    \<br /> \ln n < \sum\limits_{k = 1}^n {\frac{1}{k}} < \ln (n + 1)<br /> \<br />
    Consider the function f(x) = \frac{1}{x} and find the area from [1,n] by integral and now find the area by approximated rectangles of width 1. Now compare results.
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