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User talk:DoubleAW/Math/Telescoping series

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Discussion[edit]

Is there any proof for this? So far I have this:

$\sum _{n=1}^{\infty }\left({\frac {a}{n}}-{\frac {a}{n+b}}\right)={\frac {2a^{2}b+n}{2a+b}}$

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