Find the limit, if it exists.
-Given

Name: Find the limit, if it exists. -Given
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Question

Quizplus · Accepted Answer

We can simplify the expression by factoring out the highest power of n in the numerator and denominator:
$$\frac{n^4(1+\frac{6}{n})}{n^4(1+\frac{1}{n})}$$
As n approaches infinity, the term with the highest power dominates, and we are left with:
$$\frac{n^4}{n^4}=1$$
Therefore, the limit as n approaches infinity is 1. Choice D matches this answer.

Find the Limit, If It Exists