what is the limit of..
as I know the limit of (x^4-2x^2)/(x^2-2x) as x approaches + inf the answer is inf
but I was reading an Example from an Arabic math book from Oman and the answer was the limit does not exist.
I opened the geogebra and the graph told me its - inf
I opened the derive and sketch it again I found the same - inf
then I tried (x^4-2x^2)/(x^2+2x) and I got + inf from the both geogebra and derive
my question is what is the answer of the limit of (x^4-2x^2)/(x^2-2x) as x approaches inf
if the answer is - inf then its not my day