(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find what the infinite product (2N-1)(2N) converges too.

Example. 1/2*3/4*5/6

2. Relevant equations

That's it.

3. The attempt at a solution

I have several strategies for this, all of which are similar, and none of which I know how to show.I think it converges to zero.

The idea, is that I show that at any N, I can find a finite amount of N after that, when multiplied together, are below 1/2, or really, any other set fraction. Example.

3/4*5/6*7/9 is less than 1/2. If I can find this to be true for an infinite amount of times, it will converge to zero.

Another idea I have is to take the log of it, and than show that it diverges to negative infinity. Because this product is bounded by zero, if would mean it converges to zero.

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# Homework Help: Convergence of an infinite product

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