Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 2 - Limits - 2.6 Continuity - 2.6 Exercises: 28

Answer

$\dfrac {81}{16}=5.0625$

Work Step by Step

$\lim _{x\rightarrow 2}\left( \dfrac {3}{2x^{5}-4x^{2}-50}\right) ^{4}=\left( \dfrac {3}{2\times 2^{5}-4\times 2^{2}-50}\right) ^{4}=\left( \dfrac {3}{2\times 32-4\times 4-50}\right) ^{4}=\left( \dfrac {3}{64-16-50}\right) ^{4}=\left( \dfrac {-3}{2}\right) ^{4}=\dfrac {81}{16}$
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