As x approaches infinity the value of the function Y approaches infinity. There is a vertical asymptote at x = 0 (Solve denominator for x) and since the degree of the numerator is greater than the denominator there are no horizontal asymptotes. You can simplify the limit by merging the expression into (x^4 + 1)/x^2 and dropping the one and simplifying to x^2 which in x^2 as x approaches infinity Y approaches infinity. Hope that helps!