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Chapter 4: Q. 47 (page 225)

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

T(x)=x3x4-1

Short Answer

Expert verified

y=0 is the horizontal asymptote for given rational expression.

Step by step solution

01

Step 1. Given information

Given rational expression:

T(x)=x3x4-1

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=3,m=4

Now,

considerP(x)=x3x4-1=limx鈫�鈭�x3x4(1-1x4)=0

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Most popular questions from this chapter

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