Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 3 - Section 3.1 - Exponential Functions - Exercise Set - Page 450: 70

Answer

As the exponent $x$ nears $\pi $, the value of $2^{x}$ gets closer and closer to $2^{\pi}.$

Work Step by Step

$2^{3}=8$ $2^{3.1}=8.5741877$ $2^{3.14} =8.81524093$ $2^{3.141} =8.82135331$ $2^{3.1415} =8.82441108$ $2^{3.14159} =8.82496160$ $2^{3.1412593} =8.82497995$ $2^{\pi}=8.82497783$ As the exponent $x$ nears $\pi $, the value of $2^{x}$ gets closer and closer to $2^{\pi}.$
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