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10-2-61 factorial and power problem
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    Limit as N goes to Infinity of N factorial over one O 3 to the north power. We could think of this as the limit as N goes to Infinity of n * n - 1 * n - 2 * n - 3... dot .321. That's what our N factorial means. And then we have one O 3 * 1 O 3 * 1 O 3 * 1 O 3 N times in the denominator. So we could actually look at each of these terms n / 103 times and -1 / 103 times and -2 / 103. Well, if I put in something really, really big, I'm going to get Infinity times Infinity times Infinity. And as we go down 3 / 103, two over 103, one over 103 are constants. They're going to be small numbers, but they're going to be constants. So if I have Infinity times anything, it's still going to be Infinity, and thus it's going to diverge.