A student writes the following: 4x+1-3 Problem: Evaluate the limit lim x-2 Student answer: Line 1: Direct Substitution is not possible because the denominator is 0 when x = 2. Line 2: Instead let's multiply by the conjugate (to rationalize). Line 3: lim V4x+I-3 2-2 = lim エ→2 (VAr+I-3) (VAz+I+3) r-2 Line 4: = lim (4r+1)-9 2-2 4(x-2) 2-2 Line 5: = lim Line 6: = lim 4 = 4 Is the student's work correct? (Write "yes" or "no") If incorrect, in what line is the fırst error? (Write 1, 2, 3, 4, 5, or 6. If it is correct, write "none". If there is more than one error, write the line of the FIRST error.) The correct final answer to the problem is
A student writes the following: 4x+1-3 Problem: Evaluate the limit lim x-2 Student answer: Line 1: Direct Substitution is not possible because the denominator is 0 when x = 2. Line 2: Instead let's multiply by the conjugate (to rationalize). Line 3: lim V4x+I-3 2-2 = lim エ→2 (VAr+I-3) (VAz+I+3) r-2 Line 4: = lim (4r+1)-9 2-2 4(x-2) 2-2 Line 5: = lim Line 6: = lim 4 = 4 Is the student's work correct? (Write "yes" or "no") If incorrect, in what line is the fırst error? (Write 1, 2, 3, 4, 5, or 6. If it is correct, write "none". If there is more than one error, write the line of the FIRST error.) The correct final answer to the problem is
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...
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Transcribed Image Text:A student writes the following:
V4x+I-3
Problem: Evaluate the limit lim
2-2
x+2
Student answer:
Line 1: Direct Substitution is not possible because the denominator is 0 when x = 2.
Line 2: Instead let's multiply by the conjugate (to rationalize).
V4x+1-3
(V4r+1–3) (Vz+I+3)
Line 3: lim
= lim
2-2
r-2
(4a+1)-9
Line 4: = lim
I-2
4(r-2)
Line 5: = lim
2-2
Line 6: = lim 4 = 4
Is the student's work correct?
(Write "yes" or "no".)
If incorrect, in what line is the fırst error?
(Write 1, 2, 3, 4, 5, or 6. If it is correct, write "none". If there is more than one error, write the line of the
FIRST error.)
The correct final answer to the problem is
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