Compute Since this doesn't look like 0/0 or ∞/∞, you can't use L'Hôpital's rule right away. The trick here is to write 1 (1 − 2x) — 2 - 0 lim (1-2x) +. X418 1 -∞ -2 e¹/2 In(1-2x) 4x = e 4x

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%
::$/$/&3&;@;@3”2”:”:3@
Compute
Since this doesn't look like 0/0
or ∞/∞, you can't use
L'Hôpital's rule right away. The
trick here is to write
1
(1 – 2x) ¹
0
1
lim (1-2x).
X→ ∞
-2
∞
e¹/2
= e
In(1-2x)
4x
Transcribed Image Text:Compute Since this doesn't look like 0/0 or ∞/∞, you can't use L'Hôpital's rule right away. The trick here is to write 1 (1 – 2x) ¹ 0 1 lim (1-2x). X→ ∞ -2 ∞ e¹/2 = e In(1-2x) 4x
Expert Solution
steps

Step by step

Solved in 3 steps with 1 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