Concept explainers
Find the limit algebraically.
Answer to Problem 1CT
The limit of the function is
Explanation of Solution
Given information:
Sketch a graph of the function and approximate the limit (if it exists). Then find the limit (if it exists) algebraically by using appropriate technique(s).
Calculation:
Consider the given function,
Sketch a graph of the function use graphing utility
Press Y and key and observe the screen,
Now press WINDOW to choose proper scale,
Now press GRAPH and display will be,
Now verify the existence of limit, Press 2nd window and display will be.
Now enter the values of
As the value of the function approaches to the same value as
Now evaluate the limit of function by substitution
Hence the limit of the function is
Chapter 12 Solutions
EBK PRECALCULUS W/LIMITS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning