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What is the sum of the 2009 fractions of the form \(\frac{2}{n(n+2)}\) if the values of \(n\) are the positive integers from 1 through 2009? Express your answer as a decimal to the nearest thousandth.

 Mar 1, 2019
 #1
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sum ≈  1.499999.....    =   1.5

 

 

cool cool cool

 Mar 1, 2019

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