Aplicam [tex] \frac{1}{n*k}= \frac{1}{n} - \frac{1}{k} ( n \ \textless \ k !)
Deci:
\frac{1}{2}- \frac{1}{4} + \frac{1}{4} - \frac{1}{6} + \frac{1}{6} -...- \frac{1}{2008} + \frac{1}{2008} - \frac{1}{2010}
[/tex] = [tex] \frac{1}{2} - \frac{1}{2010} = \frac{1004}{2010} [/tex]
Sper ca te-am ajutat si se vede bine ecuatia ! :D
