I am preparing to study for my exam, and there is something I am not sure about when evaluating the limit x --> Infinity of 4/x^2 - x(adsbygoogle = window.adsbygoogle || []).push({});

Intuitively the function seems to go to minus infinity, and I wonder if that is a sufficient answer or am I overlooking a rigorous method that should be applied here. It doesn't seem sufficient because I am looking for a horizontal asymptote and this answer doesn't guide me to a definitive point where one exists although it implies there would be one. Can someone give me a clue as to the method that would get me a clear answer.

Also as this function goes to 0, 4/0 is not defined so that's all I need to establish, right? And this would imply a vertical asymptote is at x = 0 which in turn implies that the function approaches infinity from above and below?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Studying graphing method.

**Physics Forums | Science Articles, Homework Help, Discussion**