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jmc

algebra junior

Problem

If , at what value of will there be a horizontal asymptote?
Solution
For a rational function, when the degree of the numerator is smaller than the degree of the denominator, the denominator grows at a faster rate than the numerator. In this case, the numerator has a degree of 2 while the denominator has a degree of 3. Thus, the function approaches the asymptote .
Final answer
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