Evaluate the following limits algebraically. 1. lim x---> -3         {-2x + 4; x <= -3                               {x^2 + 1; x > -3 2. lim x---> -(infinity)     (-3x^4 + 2x) / (-5x) 3. lim x----> -3      (x^2 - 9) / (x-3) 4. lim x----> 1^-      x^2 / (x-1) 5. lim x-----> 1      (square root of (x+8) - 3) / (x - 1)

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...
Question
100%

Evaluate the following limits algebraically.

1. lim x---> -3         {-2x + 4; x <= -3

                              {x^2 + 1; x > -3

2. lim x---> -(infinity)     (-3x^4 + 2x) / (-5x)

3. lim x----> -3      (x^2 - 9) / (x-3)

4. lim x----> 1^-      x^2 / (x-1)

5. lim x-----> 1      (square root of (x+8) - 3) / (x - 1)

Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

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