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Chapter 4: Q. 48 (page 225)

Find the vertical, horizontal, and oblique asymptotes, if any, of each rational function.

P(x)=4x2x3-1

Short Answer

Expert verified

y=0will be the horizontal asymptote for the given rational expression.

Step by step solution

01

Step 1. Given information

Given rational expression:

P(x)=4x2x3-1

02

Step 2. Write the concept

If n<m(the degree of the numerator is less than the degree of the denominator), then R is a proper rational

function, and the graph of R will have the horizontal asymptote y = 0 (the x-axis).

03

Step 3. Calculation

Here, n=2,m=3

Thus, localid="1646124858314" n<m

Now,

considerP(x)=4x2x3-1=limx鈫�鈭�4x2x3(1-1x3)=0

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Most popular questions from this chapter

In Problems 57鈥� 62, find the real zeros of f. If necessary, round to two decimal places.

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