Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 5 - Logarithmic, Exponential, and Other Transcendental Functions - 5.4 Exercises: 89

Answer

$\ 12! = 479,001,600$ Stirling's Formula: $\ 12! = 475,687,487$

Work Step by Step

$$\ 12! = 12 \times 11 \times 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1$$ $$\ 12! = 479,001,600$$ $\ Stirling's$ $Formula:$ $$\ 12! \approx \left(\frac{12}{e}\right)^{12} \sqrt{2\pi(12)} \approx 475,687,487$$
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