Q. 14 Supposep(x)q(x)聽is a rational f... [FREE SOLUTION]

Chapter 1: Q. 14 (page 152)

Suppose $\frac{p (x)}{q (x)}$ is a rational function with deg $(p (x))$ $= n$ and $d e g (q (x))$ $= m,$ if $n < m$ then, $\lim_{x 鈫� 鈭�} \frac{p (x)}{q (x)} = ?,$ if $n = m,$ then $\lim_{x 鈫� 鈭�} \frac{p (x)}{q (x)} = ?,$ and if $n > m, t h e n \lim_{x 鈫� 鈭�} \frac{p (x)}{q (x)} = ? .$

Short Answer

Expert verified

Suppose $\frac{p (x)}{q (x)}$ is a rational function with $d e g (p (x)) = n a n d d e g (q (x)) = m$ , if $n < m, t h e n \lim_{x 鈫� 鈭�} \frac{p (x)}{q (x)} = 0, i f n = m, t h e n \lim_{x 鈫� 鈭�} \frac{p (x)}{q (x)} = \frac{a_{n}}{b_{m}}$ , and if $n > m$ , then $\lim_{x 鈫� 鈭�} \frac{p (x)}{q (x)} = n o t d e f i n e d .$

Step by step solution

Step 1. Given Information.

The given statement is ,

Suppose $\frac{p (x)}{q (x)}$ is a rational function withlocalid="1648279271694" $d e g (p (x)) = n and deg (q (x)) = m, if n < m then, \lim_{x 鈫� 鈭�} \frac{p (x)}{q (x)} = ?, if n = m, then \lim_{x 鈫� 鈭�} \frac{p (x)}{q (x)} = ?, and if n > m, then \lim_{x 鈫� 鈭�} \frac{p (x)}{q (x)} = ?$

Step 2. Fill the blanks.

Suppose $\frac{p (x)}{q (x)}$ is a rational function with $deg (p (x)) = n and deg (q (x)) = m, if n < m, then \lim_{x 鈫� 鈭�} \frac{p (x)}{q (x)} = 0, if n = m, then \lim_{x 鈫� 鈭�} \frac{p (x)}{q (x)} = \frac{a_{n}}{b_{m}}, and if n > m, then \lim_{x 鈫� 鈭�} \frac{p (x)}{q (x)} = not de fined$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Fill the blanks.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Calculus

Geometry

Statistics

Probability and Statistics

Logic and Functions

Study anywhere. Anytime. Across all devices.

91影视

Supposep(x)q(x)is a rational function with deg(p(x))=nanddeg(q(x))=m,if n<mthen,limx鈫�鈭�p(x)q(x)=?,if n=m,thenlimx鈫�鈭�p(x)q(x)=?,and if n>m,thenlimx鈫�鈭�p(x)q(x)=?.

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Fill the blanks.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Calculus

Geometry

Statistics

Probability and Statistics

Logic and Functions

Study anywhere. Anytime. Across all devices.