Infinite multiplication

[BruceZ]

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If the numbers in your sequence go to 1 quickly enough, then M can be non-zero

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But your number is always less than 1 and every multiplication will lower it further. It can never approach 1 but will always approach 0. What am I missing?

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He means that the sequence of numbers that are being multiplied need to go to 1. Then the logs of these numbers will go to 0, and if they do so fast enough, the sum of the logs will converge to some number -x instead of going to minus infinity, and then the product will be some number other than zero. It will be e^-x.