Functie continua cu orice sir de forma f(nx)->infinit

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Sabin Salajan
Euclid
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Functie continua cu orice sir de forma f(nx)->infinit

Post by Sabin Salajan »

Fie \( f:\mathbb{R}\to\mathbb{R} \) continua. Daca pentru orice \( x\g0 \) avem \( (f(nx)_{n\ge1})\to\infty \), atunci \( \lim_{x\to\infty}f(x)=\infty \).
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