Answer
Diverges
Work Step by Step
$3-4+\dfrac {16}{3}-\dfrac {64}{9}=\sum ^{\infty }_{k=0}3\times \left( -\dfrac {4}{3}\right) ^{k}\Rightarrow \lim _{k\rightarrow \infty }3\times \left( -\dfrac {4}{3}\right) ^{k}\neq 0$
Then the series diverges
Calculus: Early Transcendentals 8th Edition
by Stewart, James
Published by
Cengage Learning
ISBN 10:
1285741552
ISBN 13:
978-1-28574-155-0
Chapter 11 - Section 11.2 - Series - 11.2 Exercises - Page 716: 17
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