Consider lim exp 8118 7-x³ x+∞ x² +7x a) lim b) If we let t t lim = 3 2 = → 7-x³ x² +7x 7-x³ x² + 7x c) Therefore, lim exp x→→∞ then we can rewrite the limit as 7-x³ x² + 7x ( X 08 =lim et t→∞0

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...
icon
Related questions
Question
100%

plz help 

Consider lim exp
X418
7- x²
xx x² + 7x
a) lim
b) If we let t
t
lim
08
=
7x³
x² + 7x
7-x³
23
x² +7x
3
2
then we can rewrite the limit as
7x³ 3
(277)
x² + 7x
c) Therefore, lim exp
x →→∞
X 0³
=lim et
t→∞
Transcribed Image Text:Consider lim exp X418 7- x² xx x² + 7x a) lim b) If we let t t lim 08 = 7x³ x² + 7x 7-x³ 23 x² +7x 3 2 then we can rewrite the limit as 7x³ 3 (277) x² + 7x c) Therefore, lim exp x →→∞ X 0³ =lim et t→∞
Expert Solution
Step 1: Define the limit

To find:-

rightwards double arrow limit as x rightwards arrow negative infinity of e to the power of open parentheses fraction numerator 7 minus x cubed over denominator x squared plus 7 x end fraction close parentheses end exponent

steps

Step by step

Solved in 5 steps with 10 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