Concept explainers
Evaluate a Limit at Infinity.
Answer to Problem 80RE
The result is verified.
Explanation of Solution
Given information:
Find the limit (if it exists). If the limit does not exist, then explain why. Use a graphing utility to verify result graphically.
Calculation:
Consider the function,
Now evaluate the limit at infinity, if it exists.
For the rational number,
Where,
The limit as
The limit does not exist if
Here the degree of numerator and denominator is equal, so the limit of the function is ratio of the coefficients.
Now verify the result graphically,
By using
Press
Press window and adjust
Draw the graph,
Change the window size and press GRAPH key,
Press TRACE and move the cursor towards increasing
From the graph the function
So
Hence the result is verified.
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