Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 11 - Section 11.2 - Series - 11.2 Exercises: 29

Answer

Diverges

Work Step by Step

$\lim _{n\rightarrow \infty }\dfrac {2+n}{1-2n}=\lim _{n\rightarrow \infty }\dfrac {\dfrac {2}{n}+1}{\dfrac {1}{n}-2}=\dfrac {1}{-2}\neq 0 \Rightarrow \sum ^{\infty }_{n=1}\dfrac {2+n}{1-2n}$ Thus, it diverges.
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