To calculate the equation of horizontal asymptote for the given function.
Answer to Problem 39PPS
Explanation of Solution
Given:
Function:
Concept used:
To find the equation of horizontal asymptotes:
If the degree of the denominator is bigger than the degree of the numerator, the horizontal asymptote is the x -axis.
If the degree of the numerator is bigger than the denominator, there is no horizontal asymptote.
If the degrees of numerator and the denominator are the same, the horizontal asymptote is the leading coefficient of the numerator divided by the leading coefficient of the denominator.
Also, a function
Calculation:
The given function is
Let
Substitute
So, the equation of the horizontal asymptote is
Conclusion:
Therefore, the equation of the horizontal asymptote is
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