Calculus: Early Transcendentals (2nd Edition)

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

Chapter 2 - Limits - 2.3 Techniques for Computing Limits - 2.3 Exercises - Page 77: 43

Answer

$-1$

Work Step by Step

$\lim _{x\rightarrow b}\dfrac {\left( x-b\right) ^{50}-x+b}{x-b}=\dfrac {\left( x-b\right) ^{50}-\left( x-b\right) }{x-b}=\dfrac {\left( x-b\right) \left( \left( x-b\right) ^{49}-1\right) }{\left( x-b\right) }=\left( x-b\right) ^{49}-1=0^{49}-1=-1$
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