Determine the convergence of the sum of 1/n! using the direct comparison test with a geometric series.

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Convergence of the Reciprocal Factorial Series

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Determine whether \(\sum_{n=0}^{\infty} \frac{1}{n!}\) is convergent.

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Tests the ability to construct a valid inequality for the terms of a series and apply the direct comparison test.

This is a classic introductory problem in Calculus II when learning about convergence tests for infinite series.