Apparently (according to my textbook), the sequence defined by(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\left\{\frac{1}{n^2}+\frac{2}{n^2}+...+\frac{n-1}{n^2}\right\}[/tex]

converges towards 1/2, i.e. has 1/2 as a limit.

How could that be?! It seems to me that as n approaches infinity, all the fractions fall to zero. What is it I'm missing?

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# Convergence of a sequence

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