Homework Help is Here – Start Your Trial Now!
Math
Calculus
3-1t 4.) Iim 5x-4メト! 入ーレ Atuメ-X 5) メー3 メー0 2入+ (4x

3-1t 4.) Iim 5x-4メト! 入ーレ Atuメ-X 5) メー3 メー0 2入+ (4x

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
See similar textbooks
icon
Related questions
Question
3-1E 4.) lim 5x-4x+1 5) lim 7メー3 ax+ (4x-5 Using the definition
Transcribed Image Text:3-1E 4.) lim 5x-4x+1 5) lim 7メー3 ax+ (4x-5 Using the definition
Expert Solution
Part 4

NOTE: Refresh your page if you can't see any equations.

.

\lim _{x\to \infty }\left(\frac{5x^2-4x+1}{4+2x-x^2}\right)

divide by x2

=\lim _{x\to \infty }\left(\frac{\frac{5x^2}{x^2}-\frac{4x}{x^2}+\frac{1}{x^2}}{\frac{4}{x^2}+\frac{2x}{x^2}-\frac{x^2}{x^2}}\right)

=\lim _{x\to \infty }\left(\frac{5-\frac{4}{x}+\frac{1}{x^2}}{\frac{4}{x^2}+\frac{2}{x}-1}\right)

=\frac{5-\frac{4}{\infty }+\frac{1}{\infty ^2}}{\frac{4}{\infty ^2}+\frac{2}{\infty }-1}

=\frac{5-0+0}{0+0-1}

=\frac{5}{-1}

{\color{Red} =-5}

steps

Step by step

Solved in 2 steps with 21 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS