find the horizontal asymptote of ( f(x)=\frac{2 x^{7}-3 x}{-3 x^{5}+2 x^{2}-4 x} ). if the horizontal…

find the horizontal asymptote of ( f(x)=\frac{2 x^{7}-3 x}{-3 x^{5}+2 x^{2}-4 x} ). if the horizontal asymptote does not exist, enter dne. the horizontal asymptote is ( y= )

find the horizontal asymptote of ( f(x)=\frac{2 x^{7}-3 x}{-3 x^{5}+2 x^{2}-4 x} ). if the horizontal asymptote does not exist, enter dne. the horizontal asymptote is ( y= )

Answer

Explanation:

Step1: Determine the degrees of numerator and denominator

The degree of the numerator (n) (for (2x^{7}-3x)) is (n = 7). The degree of the denominator (m) (for (-3x^{5}+2x^{2}-4x)) is (m = 5).

Step2: Apply the rule for horizontal asymptotes

If (n>m), the horizontal asymptote does not exist. Since (7 > 5) (where (n = 7) and (m = 5)).

Answer:

DNE