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Αν  \\(\\displaystyle\\lim_{x\\rightarrow x_0}f(x)=+\\infty\\)  και  \\(f(x)\\leq g(x)\\)  κοντ\u03ac στο \\(x_0\\),  τ\u03ccτε  \\(\\displaystyle\\lim_{x\\rightarrow x_0}g(x)=+\\infty\\).

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Αν  \\(\\displaystyle\\lim_{x\\rightarrow x_0}f(x)=0\\),  τ\u03ccτε  \\(\\displaystyle\\lim_{x\\rightarrow x_0}\\left[f(x)\\cdot g(x)\\right]=0\\).

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