Determine lim f(x), lim f(x), and lim f(x), if it exists. X→c* X→C X→C c=4, f(x) = lim f(x) = 5 x→c* lim f(x) = 5 X→C What is lim f(x)? X-C 3-x x<4 O B. OC. X 4 A. The limit is - 1. The limit is 2. The limit does not exist. + 1 x>4 O D. The limit is c.

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

Please show how you found the limit in parts a & b

Determine lim f(x), lim f(x), and lim f(x), if it exists.
x→c* X→C
X→C
c = 4, f(x) =
lim f(x) = 5
x→c*
lim f(x) = 5
X→C
What is lim f(x)?
X→C
3-x
X
4
x < 4
+ 1 x>4
A. The limit is - 1.
B. The limit is 2.
OC. The limit does not exist.
O D. The limit is c.
Transcribed Image Text:Determine lim f(x), lim f(x), and lim f(x), if it exists. x→c* X→C X→C c = 4, f(x) = lim f(x) = 5 x→c* lim f(x) = 5 X→C What is lim f(x)? X→C 3-x X 4 x < 4 + 1 x>4 A. The limit is - 1. B. The limit is 2. OC. The limit does not exist. O D. The limit is c.
Expert Solution
Step 1: The given function is:

straight f open parentheses straight x close parentheses equals open curly brackets table row cell 3 minus straight x comma space straight x less than 4 end cell row cell straight x over 4 plus 1 comma space straight x greater than 4 end cell end table close

steps

Step by step

Solved in 3 steps with 8 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