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This sequence of functions looks simple but

  1. Aug 31, 2012 #1
    1. The problem statement, all variables and given/known data

    The question is attached in the picture.

    3. The attempt at a solution

    Since V0 = 1,

    Thus V1 = [itex]\stackrel{1}{2}[/itex]∏R2 which is a constant.

    Then shouldn't Vn be as in the picture?

    Attached Files:

  2. jcsd
  3. Aug 31, 2012 #2
    I think there is a typo in the question.

    [itex](\sqrt{R^2 - x^2})[/itex] should be [itex](\sqrt{R^2 - x^2})^n[/itex]
  4. Aug 31, 2012 #3
    hmm are u sure about that?
  5. Aug 31, 2012 #4
  6. Aug 31, 2012 #5


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  7. Aug 31, 2012 #6

    Ray Vickson

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    [tex] V_1(R) =
    \int_{-R}^R V_0 \left(\sqrt{R^2-x^2} \right) \, dx = \int_{-R}^R \; 1 \, dx = 2R, [/tex]

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