Select Function 2, f(x) = Vx, under the Explore & Test section of the Explore It. (a) According to the e-8 definition of the limit, if lim Vx = 2 and ɛ = 0.8, there is a value of 8 for which |x – 4| < 8 implies Vx – 2| < ɛ. What is the maximum value of 8, for which this is true? x-4 82 = (b) Would this value also work for 81? O Yes O No If not, what is the maximum value of 8, for which 4 - x < 8, would ensure Vx – 2| < ɛ? (If it does work, enter the value in the blank below.) 81 = (c) What value of 8 should you choose in order for IVx - 2| < ɛ whenever |x – 4| < 8? 8 =

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Select Function 2, f(x) = Vx, under the Explore & Test section of the Explore It.
(a) According to the e-8 definition of the limit, if lim Vx = 2 and ɛ = 0.8, there is a value of 8 for which |x – 4| < 8 implies Vx – 2| < ɛ. What is the maximum value of 8, for which this is true?
x-4
82 =
(b) Would this value also work for 81?
O Yes
O No
If not, what is the maximum value of 8, for which 4 - x < 8, would ensure Vx – 2| < ɛ? (If it does work, enter the value in the blank below.)
81 =
(c) What value of 8 should you choose in order for IVx - 2| < ɛ whenever |x – 4| < 8?
8 =
Transcribed Image Text:Select Function 2, f(x) = Vx, under the Explore & Test section of the Explore It. (a) According to the e-8 definition of the limit, if lim Vx = 2 and ɛ = 0.8, there is a value of 8 for which |x – 4| < 8 implies Vx – 2| < ɛ. What is the maximum value of 8, for which this is true? x-4 82 = (b) Would this value also work for 81? O Yes O No If not, what is the maximum value of 8, for which 4 - x < 8, would ensure Vx – 2| < ɛ? (If it does work, enter the value in the blank below.) 81 = (c) What value of 8 should you choose in order for IVx - 2| < ɛ whenever |x – 4| < 8? 8 =
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