Question
Calculate $S_{3}, S_{4},$ and $S_{5}$ and then find the sum of the telescoping series$$S=\sum_{n=1}^{\infty}\left(\frac{1}{n+1}-\frac{1}{n+2}\right)$$
Step 1
For $S_{3}$, we substitute $n=1,2,3$ into the series formula, we Show more…
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