Предмет: Математика, автор: OlenaKate

прошу помогите, очень прошу

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Автор ответа: NNNLLL54

$limlimits _{xto 0}frac{sqrt{25+9x}-5}{3x}=lim limits frac{(sqrt{25+9x}-5)(sqrt{25+9x}+5)}{3xcdot (sqrt{25+9x}+5)} =\\=lim limits _{xto 0} frac{25+9x-25}{3xcdot (sqrt{25+9x}+5)} =lim limits _{xto 0} frac{3}{sqrt{25+9x}+5} =frac{3}{5+5}=0,3$

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