Question

lim 4x+3/x-5
x>бесконечность

Answer 1

$= lim_{x to infty} frac{x(4+ frac{3}{x}) }{x(1- frac{5}{x}) }=4$

Answer 2

$limfrac{4x+3}{x-5}=\\=limfrac{frac{4x}{x}+frac{3}{x}}{frac{x}{x}-frac{5}{x}}=\\=limfrac{4+frac{3}{x}}{frac{1-frac{5}{x}}=frac{4+0}{1-0}=4/1=4$