Intrebare

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poli
Arhimede
Posts: 6
Joined: Fri Jan 02, 2009 8:29 pm

Post by poli »

Am o intrebare...

Avem \( f_n(x)=\sum_{k=-n}^n 1/(x+k) \) si \( f(x)=\lim_{n\to\infty}f_n(x) \). Cam care ar fi functia cu dezvoltarea aceasta?

Sa se arate ca \( f \) e continua, periodica...
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poli
Arhimede
Posts: 6
Joined: Fri Jan 02, 2009 8:29 pm

Post by poli »

\( \pi\cot(\pi x) \)
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