- #1
tarheelborn
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Homework Statement
Prove that if [tex]$\displaystyle\sum_{n=1}^\infty a_n$[/tex] converges and [tex]$\displaystyle\sum_{n=1}^\infty b_n$[/tex] diverges, then [tex]$\displaystyle\sum_{n=1}^\infty (a_n+b_n)$[/tex] diverges.
Homework Equations
I know that the limit of {a_n} = 0 because it is convergent, but I can't say anything about how {b_n} diverges.
The Attempt at a Solution
I know that I need to show that sum of the partial sums of the two series diverge, but I am not sure how to show it.