Question

срочняк нода помогите

Answer 1

$1. lim_{x to infty} frac{x^2(3 + frac{1}{x}- frac{6}{x^2}) }{x^2(7 + frac{1}{x^2})} = lim_{x to infty} frac{3 + frac{1}{x}- frac{6}{x^2}}{7 + frac{1}{x^2}} = frac{3}{7} \\ 2. lim_{x to 0} frac{ sqrt{x+4}-2 }{x} =lim_{x to 0} frac{ (sqrt{x+4}-2)(sqrt{x+4}+2) }{x(sqrt{x+4}+2)} =lim_{x to 0} frac{ x+4-4}{4x}=\=lim_{x to 0} frac{ x}{4x}= frac{1}{4}$
$3. lim_{x to 0} frac{tg^2x}{x*sin3x} = lim_{x to 0} frac{x^2}{x*3x} = lim_{x to 0} frac{x^2}{3x^2} = frac{1}{3} \\ 4. lim_{x to 1} frac{(x-1)(3x+1)}{(x-1)(x+1)} =lim_{x to 1} frac{3x+1}{x+1}= frac{4}{2} =2$

Answer 2

оооо от души брат, от души душевно в душу