Answer:
4/3
Step-by-step explanation:
lim(n→∞) (8n⁴ − 5) / (6n⁴ + 7)
To find the limit, compare the orders (highest exponents) of the numerator and denominator.
If the order of the numerator is bigger, the limit does not exist.
If the order of the denominator is bigger, the limit is 0.
If the orders are equal, the limit is the ratio of the leading coefficients.
Here, both the numerator and denominator have order 4, so the limit is 8/6, which reduces to 4/3.