#### Answer

FALSE

#### Work Step by Step

Consider $a_{n}=n$ and $b_{n}=-n$ (Both diverge)
Then
$a_{n}+b_{n}=n+(-n)=0$
It converges to $0$.
Hence, the statement is false.

Published by
Cengage

ISBN 10:
1285740629

ISBN 13:
978-1-28574-062-1

FALSE

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