When determining whether a series with factorial terms converges or diverges, the factorial in the numerator often suggests using the Ratio Test, as factorials grow very rapidly and the Ratio Test effectively handles such growth patterns.
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Factorial SeriesAdded:
Factorial is kind of hint to what test to use here. It's a math contest we do in panic problems in calculus one and calculus two. My calc two problem for today is determining whether the series converges, okay? So, we got the summation from n equals one to infinity of n factorial over seven to the n, okay? Put your answer in the comments and let's see what we got. I'll put the solution part two on YouTube later. All right, say hey. Hey.
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