Pre-Calculus, 9th edition
43

 PAGE: 198 SET: Exercises PROBLEM: 43

The rational function is .

Find the vertical asymptote :

Find the vertical asymptote by equating the denominator to zero.

.

The vertical asymptote is .

Find the horizontal asymptote :

The rational function is .

Since the degree of the numerator is equal to the degree of the denominator, horizontal asymptote is the ratio of leading coefficient of numerator and denominator.

Degree of the numerator and degree of the denominator .

Therefore ,horizontal asymptote is .

The vertical asymptote is .

The horizontal asymptote is .

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