Respuesta :
Polynomial division yields
[tex]\dfrac{7x^2}{x^2+5}=7-\dfrac{35}{x^2+5}[/tex]
As [tex]x\to\pm\infty[/tex], you have the remainder term approaching [tex]0[/tex], so the horizontal asymptote is the line [tex]y=7[/tex].
[tex]\dfrac{7x^2}{x^2+5}=7-\dfrac{35}{x^2+5}[/tex]
As [tex]x\to\pm\infty[/tex], you have the remainder term approaching [tex]0[/tex], so the horizontal asymptote is the line [tex]y=7[/tex].