how to find the limit

Question

find the limit of f(x)= (8x^5/3-x^4/3-9)/(x^7/5+7x+\sqrt(x) )as x approaches \infty

Answer 1

If you divide the numerator and denominator by $x^{5/3}$ , you will see that the numerator remains bounded and the denominator goes to 0; therefore, the function is unbounded as x goes to infinity.