Question

ПОЖАЛУЙСТА РЕШИТЕ 50 БАЛОВ ДАЮ!!!

Answer 1

Ответ:

1) 2

2) 0

3) ∞

Пошаговое объяснение:

1)

$lim_{x to infty} frac{6x - 1}{3x + 2} = lim_{x to infty} frac{x(6 - frac{1}{x}) }{x(3 + frac{1}{x} )} = frac{ lim_{x to infty} 6 - frac{1}{x} }{lim_{x to infty} 3 + frac{2}{x} } = frac{6}{3} = 2$

2)

$lim_{x to infty} frac{2x - 1}{x^{2} - 13} = lim_{x to infty} frac{x(2 - frac{1}{x}) }{x(x - frac{13}{x}) } = lim_{x to infty} frac{2 - frac{1}{x} }{x - frac{13}{x} } = lim_{x to infty} frac{2}{x} = 2*0 = 0$

3)

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