Concept explainers
a.
To graphically approximate the limit by using a graphing utility to graph the function
a.
Answer to Problem 60E
Explanation of Solution
Given:
Graph:
Graph has been plotted and its value at
b.
To numerically approximate the limit using graphing utility of the function
b.
Explanation of Solution
Calculation:
Make a table for the values of function obtained after substituting corresponding values of x as shown below.
x | -0.9 | -0.99 | -0.999 | 0 | 0.1 | 0.01 | 0.001 |
y | 1.266 | -1.4 | -0.585 | 0.353 | 0.35 | 0.3 | 0 |
its value at
c.
To evaluate the limit of expression
c.
Answer to Problem 60E
Explanation of Solution
Given:
Calculation:
First rationalise the function and then substitute value of x as 0 in the simplified expression.
Chapter 11 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
- 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