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Homework Help: Limit problem involving a double factorial

  1. Oct 11, 2014 #1
    1. The problem statement, all variables and given/known data

    Solve the following limit:
    $$ \lim_{n\rightarrow \infty }n\cdot\left ( \frac{2\cdot4\cdot6 \cdots (2n-2)}{1\cdot3\cdot5\cdots (2n-1)} \right )^{2}$$
    3. The attempt at a solution

    I don't know where to begin. Until know I've encountered limits which I could deal with in some way but this is new for me. Any tips?

    Thank you for your time.
  2. jcsd
  3. Oct 11, 2014 #2


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    Science Advisor
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    Gold Member

    Consider the ratio of two consecutive terms.
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