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How do I solve for N in this instance where I am dealing with factorials to a certain point

2 Answers

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Isn't n zero?  Or at least that is one value of n that works.
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If n is assumed real, look at the absolute value of the expressions on the right and the left. The right is larger for n > 0 and n < -82, and smaller for -82 < n < 0, leaving only n = 0 and n = -82 to verify. Since the number of factors is odd, only n = 0 will do.

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