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Homework Help: Lim( 1/1.3+1/3.5+ 1/(2n-1)(2n+1))where x tends to infinty?

  1. May 8, 2008 #1
    lim( 1/1.3+1/3.5+......1/(2n-1)(2n+1))
    where x tends to infinty?
     
  2. jcsd
  3. May 8, 2008 #2

    HallsofIvy

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    By "partial fractions", 1/(2n-1)(2n+1)= (1/2)/(2n-1)+ (1/2)/(2n+1).

    Write the first several terms out in that form and see what happens.
     
  4. May 8, 2008 #3
     
  5. May 8, 2008 #4

    mathman

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    You have a sign error! Should be 1/(2n-1)(2n+1)= (1/2)/(2n-1) -(1/2)/(2n+1).
     
  6. May 8, 2008 #5

    HallsofIvy

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