The sequence {n!} ultimately grows faster than the sequence {b n }, for any b > 1,
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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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For b2 2 3 but 16 24 4 24 so the crossover ...View the full answer
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Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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