Answer: 0
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Explanation:
Let n be the degree of the numerator
Let d be the degree of the denominator
If n < d, then the limit at infinity is always 0. This is because the denominator is growing faster compared to the numerator. I suggest looking at a table of values to see this in action.
In this case, n = 3 and d = 4, so we see that n < d is the case here. So that's why the answer is 0.
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Side notes:
- If n = d, then the limit at infinity is equal to a/b, where a and b are the leading terms of the numerator and denominator.
- If n > d, then the numerator is growing faster than the denominator, meaning the ultimate result is infinity.
