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by Adrian Zahariuc
Wed May 14, 2008 8:36 pm
Forum: Analiza reala
Topic: f(x)/x tinde la 0
Replies: 0
Views: 650

f(x)/x tinde la 0

Fie \( f: (0,\infty) \to (0,\infty) \) continua astfel incat
\( \lim_{x \to \infty}f\left(x+\frac{f(x)}{x}\right)-f(x) =0. \)
Sa se arate ca
\( \lim_{x \to \infty}\frac{f(x)}{x}=0. \)

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