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Calculus: We verify the convergence of the series for n!/n^n by using the Ratio Test and the Direct Comparison Test. For the Ratio Test, we use the limit of...

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Factorial sign(!) is used to denote the product n.(n-1).(n-2).(n-3).(n-4)……….4.3.2.1 . So, n.(n-1).(n-2).(n-3).(n-4)……4.3.2.1=n! Product of the integers 3 ,2& 1 as written here 3.2.1 can be written as 3! (3.2.1=3! ) , similarly product 4.3.2.1=4! ...

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