Question

Horizontal asymptote of the graph of y

3x^6-7x+9 / 7x^2+7x+9

Answer 1

\[\huge\rm f(x)=\frac{ ax^n+... }{ bx^d +...}\]
for the horizontal asy.

~if the highest degree of numerator and denominator are the same( `n=d`) then divide the leading coefficients \[\rm y=\frac{a}{b}\]
~if `n > d` the highest degree of numerator greater than the denominator then there is no horizontal asymptote
~if the highest degree of denominator is greater than the numerator `n<d` then the horizontal asy would be \[y=0\]