How do you find the slant asymptote of # (x^3-x+1)/(2x^4+x^3-x^2-1)#?

1 Answer
Dec 6, 2015

Answer:

Slant asymptote: Does not exist
Horizontal asymptote: #y= 0#

Explanation:

There is no slant asymptote for this rational function.

Slant asymptote can only exist, if and only if the degree of the numerator is one more than the degree of the denominator

Slant asymptote can be obtain using long division if the degree of numerator is one more than the degree of the numerator