Question

Помогите пож. решить
Lim 2x2-3x-5/1+x+3x2=∞/∞
X–>∞

Lim 2x2-3x-5/x+1
x–>-1

Answer 1

$lim_{x to infty} frac{2x^{2}-3x-5}{1+x+3x ^{2} }= frac{infty}{infty}= lim_{x to infty} frac{x^{2}(2- frac{3}{x}- frac{5}{ x^{2} }) }{ x^{2} ( frac{1}{ x^{2} } + frac{1}{x} +3) }= frac{2}{3}.$

$lim_{x to {-1}} frac{2 x^{2} -3x-5}{x+1}= frac{0}{0}= lim_{x to {-1}} frac{(x+1)(2 x-5)}{x+1}= lim_{x to {-1}}(2x-5)=-7$

Answer 2

Спасибо!