Question

How do you find the limit of `(-6x^4+x^2+1)/(2x^4-x)` as x approaches infinity?

Answer 1

Divide both polynoms by `x^4`. The answer is -3.

Explanation:

`lim_(x->oo)(-6x^4+x^2+1)/(2x^4-x)=lim_(x->oo)(-6x^4/x^4+x^2/x^4+1/x^4)/(2x^4/x^4-x/x^4)=lim_(x->oo)(-6+1/x^2+1/x^4)/(2-1/x^3)=(-6+0+0)/(2-0)=-3`