Question

Вычислите значение предела lim(x-0) (3x^2 + x) / (x^2 - 2x)

Answer 1

$lim_{x to0} frac{3 x^{2}+x}{ x^{2} -2x} = frac{3*0 ^{2} +0}{ 0^{2} -2*0} =[ frac{0}{0} ]$
$lim_{x to 0} frac{3 x^{2} +x}{ x^{2} -2x}= lim_{x to 0} frac{x*(3x+1)}{x*(x-2)} = lim_{x to 0} frac{3x+1}{x-2} = frac{3*0+1}{0-2} =- frac{1}{2} =-0,5$