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Fie sirul [tex](x_{n})_{n\geq 1}[/tex] definit astfel [tex]x_{1}[/tex]∈R\{0} , [tex]x_{n+1} = \frac{nx_{n}}{n+2} , n\geq 1[/tex] .
Sa determine : a) termentul general xn
b) [tex]\lim_{n \to \infty} (x_{1} + x_{2} +.........+ x_{n} )[/tex]