Question

Вычислите пределы : помогите пожалуйста

Answer 1

$1) lim_{x to (-12} frac{x^2-144}{x+12} = lim_{x to (-12} frac{(x-12)(x+12)}{x+12}= lim_{x to (-12} (x-12)=\=-12-12=-24\2) lim_{x to (-4} frac{x^2+3x-4}{x^2+x-12} = lim_{x to (-4} frac{(x-1)(x+4)}{(x-3)(x+4)} = lim_{x to (-4} frac{x-1}{x-3} =\ =frac{-4-1}{-4-3} = frac{5}{7}$
$3) lim_{x to infty} frac{3-7x^2+5x^3}{2+2x-x^3} =lim_{x to infty} frac{5x^3-7x^2+3}{-x^3+2x+2} =lim_{x to infty} frac{5- frac{7}{x} + frac{3}{x^3} }{-1+ frac{2}{x^2} + frac{2}{x^3} }=\=lim_{x to infty} frac{5- 7m+3m^3 }{-1+2m^2+2m^3 }= frac{-0+3*0^3+5}{-1+2*0^2+2*0^3} =-5$

Answer 2

Огромное тебе спасибо :*

Answer 3

:))