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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PROVIDE A SCRIPT FOR THE SOLUTIONS
EXPLAIN THE SOLUTION FOR UPVOTE
![We know that, lim f(x) = f(c) (1)
x-c
Given that,
Now, write (x - 4) as
So
f(x)
=
=
lim
x-4
Cancel common term in numerator denominator
=
) as (√x² − 2²) = (√x + 2)(√x − 2)
√x - 2
x-4
lim f(x)
= lim
√x - 2
X-4 X- 4
√x - 2
(√x + 2)(√x - 2)
√4+2
=
1
= lim
x+4√√x + 2
=
; C = 4
1
2+2
=
AT
[using (1)]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F548e4d9f-f9fa-4f0c-8ca1-dbddf2e87bf0%2F6ffa1bfc-618f-4368-bdb7-d555f8969941%2Fh3rauuw_processed.png&w=3840&q=75)
Transcribed Image Text:We know that, lim f(x) = f(c) (1)
x-c
Given that,
Now, write (x - 4) as
So
f(x)
=
=
lim
x-4
Cancel common term in numerator denominator
=
) as (√x² − 2²) = (√x + 2)(√x − 2)
√x - 2
x-4
lim f(x)
= lim
√x - 2
X-4 X- 4
√x - 2
(√x + 2)(√x - 2)
√4+2
=
1
= lim
x+4√√x + 2
=
; C = 4
1
2+2
=
AT
[using (1)]
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