Involve rational functions that model the given situations. In each case, find the horizontal asymptote as
Investigate asymptotes of rational functions. Copy and complete the table. Determine the horizontal asymptote of each function algebraically. Function Horizontal Asymptote
Use substitution to convert the integrals to integrals of rational functions. Then use partial fractions to evaluate the integrals.
The process by which we determine limits of rational functions applies equally well to ratios containing noninteger or negative powers of x: Divide numerator and denominator by the highest power of x in the denominator and proceed from there. Find the limits.
Using the following table of values for the rational functions f, s, and h.
Based rule that defines the functions f, g, and h. How does the degree of the numerator compare to the degree of the denominator, (e.g., greater than, less than, or equal to.)?