College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 4 - Exponential and Logarithmic Functions - Exercise Set 4.1 - Page 453: 70

Answer

We notice that as the exponent of 2 approaches $\pi$, the value of the expression gets closer to $2^{\pi}$.

Work Step by Step

$2^3=8$ $2^{3.1}=8.54719$ $2^{3.14}=8.81524$ $2^{3.141}=8.82135$ $2^{3.1415}=8.82441$ $2^{3.14159}=8.82496$ $2^{3.141593}=8.82498$ We notice that as the exponent of 2 approaches $\pi$, the value of the expression gets closer to $2^{\pi}$.
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