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Limit of sequence

  1. Feb 12, 2012 #1

    4c0

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    1. The problem statement, all variables and given/known data

    Find limit of sequence An=(1-1/3)(1-1/6)...(1-1/(n(n+1)/2))



    2. Relevant equations



    3. The attempt at a solution

    I just found limit of 1-1/(n(n+1)/2) when n→∞,which is 1.Is that a proper solution?
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Feb 12, 2012 #2

    Curious3141

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    Homework Helper

    I believe they're asking you to find the limit of that infinite product, not just the final term (the limit of which is clearly 1, as you've found).

    Try to find an expression for the general term in terms of n. It'll be a quotient. Factorise the numerator.

    Now see what happens when you multiply one term by the next. Then multiply by the next. Do this until you see a pattern emerging. What terms cancel out and what are you left with?
     
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