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Find the sum to n terms of the series :`1/(1xx2)+1/(2xx3)+1/(3xx4)+dotdotdot`

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To find the sum to n terms of the series \[ S_n = \frac{1}{1 \times 2} + \frac{1}{2 \times 3} + \frac{1}{3 \times 4} + \ldots + \frac{1}{n(n+1)}, \] we can start by rewriting each term in the series. ...
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