Calculus: Early Transcendentals (2nd Edition)

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

Chapter 2 - Limits - 2.5 Limits at Infinity - 2.5 Exercises - Page 96: 10

Answer

$5$

Work Step by Step

if $n > 0\Rightarrow \lim _{x\rightarrow \infty }\dfrac {a}{x^{n}}=0\Rightarrow $ $$\lim _{x\rightarrow \infty }\left( 5+\dfrac {1}{x}+\dfrac {10}{x^{2}}\right) =5+0+0=5$$
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