Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
Bartleby Related Questions Icon

Related questions

Question
Problem 1
co of this equation:
Find the limit as x
y= x2/x
As x
0 this an indeterminate form of the kind oo, since the exponent -> 0 while the base > CO
1. Find the values of y at x 2, 4, -1), and -4
2. Apply the In function to both sides of the equation. Recall that In(xa)
side, you will get a result of the form In(x)/x
a lin(x). On the right
3. Use L'Hospital's rule to show that the limit of In(y) as as x co is 0
4. Apply the exponential function to both sides of the equation you got in the previous step to
show that the limit of y
1 as x > co.
expand button
Transcribed Image Text:Problem 1 co of this equation: Find the limit as x y= x2/x As x 0 this an indeterminate form of the kind oo, since the exponent -> 0 while the base > CO 1. Find the values of y at x 2, 4, -1), and -4 2. Apply the In function to both sides of the equation. Recall that In(xa) side, you will get a result of the form In(x)/x a lin(x). On the right 3. Use L'Hospital's rule to show that the limit of In(y) as as x co is 0 4. Apply the exponential function to both sides of the equation you got in the previous step to show that the limit of y 1 as x > co.
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Recommended textbooks for you
Text book image
Calculus: Early Transcendentals
Calculus
ISBN:9781285741550
Author:James Stewart
Publisher:Cengage Learning
Text book image
Thomas' Calculus (14th Edition)
Calculus
ISBN:9780134438986
Author:Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:PEARSON
Text book image
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:9780134763644
Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:PEARSON
Text book image
Calculus: Early Transcendentals
Calculus
ISBN:9781319050740
Author:Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:W. H. Freeman
Text book image
Precalculus
Calculus
ISBN:9780135189405
Author:Michael Sullivan
Publisher:PEARSON
Text book image
Calculus: Early Transcendental Functions
Calculus
ISBN:9781337552516
Author:Ron Larson, Bruce H. Edwards
Publisher:Cengage Learning