SOLUTION: what is the horizantal aymptotes of y=4/x-2+3

Question 404617: what is the horizantal aymptotes of y=4/x-2+3
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
The horizontal asymptotes of occur when or are defined (this is just the formal way of saying that when x gets really large, the value of y is a finite number).

In this case, since the degree in the denominator is larger, and . Since the expression converges, we can add three to each limit and obtain 3 as our horizontal asymptotes. We can check by graphing the function, if we wish:

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