Question

народ,РАДЬ бога
помогите

Answer 1

$lim_{x to infty} (sqrt{x^2+5x}-x)= lim_{x to infty} frac{5x}{sqrt{x^2+5x}+x} = lim_{x to infty} frac{5}{ sqrt{1+ frac{5}{x} }+1 }= frac{5}{2}$

$lim_{x to infty} frac{x^2-4x+4}{x^2-2x} = lim_{x to infty} frac{(x-2)^2}{x(x-2)} = lim_{x to infty} frac{x-2}{x} = lim_{x to infty} frac{1- frac{2}{x} }{1} =1$

$intlimits { frac{1+x}{x} } , dx = intlimits { frac{1}{x} } , dx + intlimits {} , dx =ln|x|+x+C$