Odredite vrijednost sume
Formalno vrijedi 
, gdje je 
.
HINT
Determine the value of
Formally, it holds that , where .
HINT
[lang=hr]
Odredite vrijednost sume
$$\sum_{n=1}^{\infty}\frac{1}{n(n+1)}.$$\\
Formalno vrijedi $\sum_{n=1}^{\infty}\frac{1}{n(n+1)} = \lim_{i\rightarrow \infty} S_i$, gdje je $S_i= \sum_{k=1}^{i}\frac{1}{k(k+1)} $.
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\href{https://www.youtube.com/watch?v=sIkfphkYUd4}{HINT}
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[lang=en]
Determine the value of
$$\sum_{n=1}^{\infty}\frac{1}{n(n+1)}.$$\\
Formally, it holds that $\sum_{n=1}^{\infty}\frac{1}{n(n+1)} = \lim_{i\rightarrow \infty} S_i$, where $S_i= \sum_{k=1}^{i}\frac{1}{k(k+1)} $.
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\href{https://www.youtube.com/watch?v=sIkfphkYUd4}{HINT}
[/lang]
