What is the limit of the given problem?

Question

lim  x^6+7,000x^3+3,000,000/ 5x^6+8,000x^3

x→+∞

Answer 1

This limit is just the right-hand end behavior of the function. That is, what are the y-values of this rational function doing as we plug in tremendously large values for x (I.e. the far right of the domain on the graph).

Because the rational expression has equal degrees in the numerator and denominator, the limit will be the ratio of the lead coefficients: 1/5