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Mathematics 23 Online
OpenStudy (anonymous):

Prove \[ \sum_{k=1}^\infty \frac 1 k -\frac 1{k+1} =1 \] Use telescoping to show that \[ s_n =\sum_{k=1}^n (\frac 1 k -\frac 1{k+1}= 1 -\frac 1 {n+1}\]

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