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Convergence Issues

  1. Aug 25, 2009 #1
    I'm currently following Dr. Brad Osgood's lecture series online on Fourier analysis. In the notes to one of the lectures he discusses the issue of convergence for the sinc function.

    He gives...

    Int |sin pi()t|/pi()|t| dt >=
    SUM Int |sin pi()t|/pi()|t| dt = 1/3pi() SUM 1/((5/6) + 2n) = INFINITY

    Notwithstanding his development, if I do a basic test for convergence on the last bit I
    get, using 3rd yr. calc techniques,

    (5/6n + 2)/(5/6n + 2 + 1/n)

    Isn't this equal to 1 in the limit as n approaches infinity?
  2. jcsd
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