lim _(arrow arrow infty )(6-n^3)/(n^3)+5n^(2+2)=

Question

Answer 1

To find the limit

, we can start by analyzing the expression and simplifying it.First, observe that as

approaches infinity, the term

in both the numerator and the denominator will dominate over the constant terms

and 12. Therefore, we can factor out

from both the numerator and the denominator:

Next, simplify the fraction inside the limit:

As

approaches infinity, the terms

and

approach zero because they are divided by

, which grows very large. Thus, the expression simplifies to:

Therefore, the limit is:

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