Robert1986 said:Do you see how you might be able to re-write this and then use L'Hospital's Rule?
Edit:
Just as a side note, I hope you realize that there is no horizontal asymptote as x goes to positive infinity.
A horizontal asymptote is a straight line that a curve approaches but never touches as the input values increase or decrease. It can be thought of as the "end behavior" of a function.
To find the horizontal asymptote of a rational function, divide the leading coefficients of the numerator and denominator. The resulting value will be the equation of the horizontal asymptote.
Yes, a rational function can have more than one horizontal asymptote. This occurs when the degree of the numerator is equal to or greater than the degree of the denominator. In this case, the function may have multiple horizontal asymptotes or none at all.
A rational function has a slant asymptote if the degree of the numerator is exactly one more than the degree of the denominator. To find the equation of the slant asymptote, use long division to divide the numerator by the denominator and use the resulting quotient as the equation.
Yes, a rational function can have both a horizontal and a slant asymptote. This occurs when the degree of the numerator is exactly two more than the degree of the denominator. In this case, the function will have both a horizontal and a slant asymptote.