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CAT 2008 | Question: 08

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Find the sum $\sqrt{1+ \frac{1}{1^2} + \frac{1}{2^2} } + \sqrt{1+ \frac{1}{2^2} + \frac{1}{3^2} } + \dots  + \sqrt{1+ \frac{1}{2007^2} + \frac{1}{2008^2} }$

  1. $2008 - \frac{1}{2008}$

  2. $2007 - \frac{1}{2007}$

  3. $2007 - \frac{1}{2008}$

  4. $2008 - \frac{1}{2007}$

  5. $2008 - \frac{1}{2009}$

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