nerdamer Limit of ((x^2)/(x+1))-((x^2+2)/(x+3)) in inifinity returns -infinity instead of 2

Limit of ((x^2)/(x+1))-((x^2+2)/(x+3)) in inifinity returns -infinity instead of 2

Open SomebodyLikeEveryBody opened this issue 3 years ago • 0 comments

If we do

$\lim_{x\rightarrow\infty}\left(\frac{2\cdot x^2-2\cdot x-2}{x^2+4x+3}\right)$

limit(((2*x^2-2*x-2)/(x^2+4*x+3)), x, Infinity)

It returns -Infinity instead of 2,

and when we divide by x^2, it works

$\lim_{x\rightarrow\infty}\left(\frac{2-\frac{2}{x}-\frac{2}{x^2}}{1+\frac{4}{x}+\frac{3}{x^2}}\right)$

limit(((2-((2)/(x))-((2)/(x^2)))/(1+((4)/(x))+((3)/(x^2)))), x, Infinity)

==> returns 2

Feb 05 '22 07:02 SomebodyLikeEveryBody