# If \sum a_{n} and \sum b_{n} are both divergent, is \sum(a_{n}+b_

If $\sum {a}_{n}$ and $\sum {b}_{n}$ are both divergent, is $\sum \left({a}_{n}+{b}_{n}\right)$ necessarily divergent?
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Muspee
No.
Example: are divergent series
But $\sum {a}_{n}+{b}_{n}=\sum n-n=\sum 0=0$, which is convergent
Results:
No