The nth term of a sequence is represented byWhat is the limit of the the nth term as x becomes increasingly large?O

When we had a fraction with 2 polynomials, the limit of nth term when n became large depends of the degree of the polynomials.
In this case, the numerator has a degree of 5 and the denominator has a degree of 4. Since the degree of the numerator is greater than the degree of the denominator, the limit doesn't exist