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Use the precise definition of a limit to prove the following limit. Specify a relationship between ɛ and & that guarantees the lim lim (8x-5)= -5 Let &>0 be given. Choose the correct proof below. O A. Choose 8 = 8° Then, (8x-5)- -5|<ɛ whenever 0< |x- 0| < 8. OB. Choose & = 8ɛ. Then, (8x- 5)- - 5|<ɛ whenever 0< |x-0|< 8. O C. Choose 8 = Then, (8x-5)- - 5|

Use the precise definition of a limit to prove the following limit. Specify a relationship between ɛ and & that guarantees the lim lim (8x-5)= -5 Let &>0 be given. Choose the correct proof below. O A. Choose 8 = 8° Then, (8x-5)- -5|<ɛ whenever 0< |x- 0| < 8. OB. Choose & = 8ɛ. Then, (8x- 5)- - 5|<ɛ whenever 0< |x-0|< 8. O C. Choose 8 = Then, (8x-5)- - 5|

Calculus: Early Transcendentals
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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Use the precise definition of a limit to prove the following limit. Specify a relationship between ɛ and & that guarantees the lim lim (8x-5)= -5 Let &>0 be given. Choose the correct proof below. O A. Choose 8 = 8° Then, (8x-5)- -5|<ɛ whenever 0< |x- 0| < 8. OB. Choose & = 8ɛ. Then, |(8x-5)--5 <ɛ whenever 0< |x-0|< 8. O C. Choose 8 = Then, (8x-5)- - 5|<e whenever 0 < |x- 0| <8. OD. Choose 8= e. Then, (8x- 5)- - 5 <ɛ whenever 0< x-0<8. O E. None of the above proofs is correct. Launchpad
Transcribed Image Text:Use the precise definition of a limit to prove the following limit. Specify a relationship between ɛ and & that guarantees the lim lim (8x-5)= -5 Let &>0 be given. Choose the correct proof below. O A. Choose 8 = 8° Then, (8x-5)- -5|<ɛ whenever 0< |x- 0| < 8. OB. Choose & = 8ɛ. Then, |(8x-5)--5 <ɛ whenever 0< |x-0|< 8. O C. Choose 8 = Then, (8x-5)- - 5|<e whenever 0 < |x- 0| <8. OD. Choose 8= e. Then, (8x- 5)- - 5 <ɛ whenever 0< x-0<8. O E. None of the above proofs is correct. Launchpad
Expert Solution
Step 1

The given function is 

f(x) = 8x-5

Limit -5 as x tends to zero.

steps

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