Question: The sequence {n!} ultimately grows faster than the sequence {b n }, for any b > 1, as n . However, b n is generally

The sequence {n!} ultimately grows faster than the sequence {bⁿ}, for any b > 1, as n →∞. However, bⁿ is generally greater than n! for small values of n. Use a calculator to determine the smallest value of n such that n! > bⁿ for each of the cases b = 2, b = e, and b = 10.

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