Siruri cu module

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Marius Mainea
Gauss
Posts: 1077
Joined: Mon May 26, 2008 2:12 pm
Location: Gaesti (Dambovita)

Siruri cu module

Post by Marius Mainea »

Fie \( (x_n)_{n\ge 1} \) un sir de numere reale. Sa se arate ca daca sirurile \( (y_n)_{n\ge 1},\ (z_n)_{n\ge 1} \) definite prin \( y_n=|x_n-1|,\ z_n=|x_n+1| \) au limita, atunci sirul \( (t_n)_{n\ge 1} \), unde \( t_n=|x_n| \), are limita.

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