음 when you first try to plug in the limit value. Complete the steps below to show that the limit exists by rationalizing with conjugates. The following limit results in lim √√x-4 - 16 - →16 X STEP 1: What is the conjugate of the numerator? STEP 2: Multiply the numerator by the conjugate and simplify: STEP 3: Multiply the denominator by the conjugate and simplify: STEP 4: Simplify the function by cancelling any common factors between the numerator and denominator: lim 2-16 STEP 5: Now evaluate the limit and answer as an integer or a reduced fraction. √x-4 lim -16 - 16 Submit =

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
Answer all 12
0
The following limit results in
when you first try to plug in the limit value.
0
Complete the steps below to show that the limit exists by rationalizing with conjugates.
x-4
lim
#-16 x-16
STEP 1: What is the conjugate of the numerator?
STEP 2: Multiply the numerator by the conjugate and simplify:
STEP 3: Multiply the denominator by the conjugate and simplify:
STEP 4: Simplify the function by cancelling any common factors between the numerator and
denominator:
lim
x-16
STEP 5: Now evaluate the limit and answer as an integer or a reduced fraction.
√x-4
lim
x 16 x 16
Submit
Transcribed Image Text:0 The following limit results in when you first try to plug in the limit value. 0 Complete the steps below to show that the limit exists by rationalizing with conjugates. x-4 lim #-16 x-16 STEP 1: What is the conjugate of the numerator? STEP 2: Multiply the numerator by the conjugate and simplify: STEP 3: Multiply the denominator by the conjugate and simplify: STEP 4: Simplify the function by cancelling any common factors between the numerator and denominator: lim x-16 STEP 5: Now evaluate the limit and answer as an integer or a reduced fraction. √x-4 lim x 16 x 16 Submit
Expert Solution
steps

Step by step

Solved in 3 steps with 3 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