Given that    lim x→4 (4x − 13) = 3,    illustrate Definition 2 by finding values of delta that correspond to epsilon = 0.1,  epsilon = 0.05, and epsilon = 0.01.     epsilon = 0.1    delta≤    epsilon = 0.05    delta≤   epsilon = 0.01  delta≤

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.2: Continuity
Problem 31E
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Given that 

 

lim x→4 (4x − 13) = 3,

 

 illustrate Definition 2 by finding values of delta that correspond to epsilon = 0.1,  epsilon = 0.05, and epsilon = 0.01.

 

 

epsilon = 0.1    delta≤ 

 

epsilon = 0.05    delta≤

 

epsilon = 0.01  delta≤ 

 

 

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