QuestionFind the limit: .
Studdy Solution
STEP 1
Assumptions1. We are asked to find the limit of the function as approaches infinity. . We are assuming that the function is defined for all in the domain of real numbers.
STEP 2
When finding the limit of a rational function as approaches infinity, we can divide every term in the function by , where is the highest power of in the denominator.
In this case, the highest power of in the denominator is . So, we divide every term by .
STEP 3
As approaches infinity, the terms , , and will approach . This is because any fraction with a constant numerator and a denominator that approaches infinity will approach .
So, we can simplify the function toThe limit of the function as approaches infinity is .
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