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Determine if each of the provided functions is continuous at the specified value of 'a'. If a function is not continuous at that point, identify the kind of discontinuity involved. Follow number 3 solution below. Answer only number 4. 4.t(x) = {√x-2 2x²-1 x ≥ 2 x < 2 ; a= 2

Determine if each of the provided functions is continuous at the specified value of 'a'. If a function is not continuous at that point, identify the kind of discontinuity involved. Follow number 3 solution below. Answer only number 4. 4.t(x) = {√x-2 2x²-1 x ≥ 2 x < 2 ; a= 2

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Determine if each of the provided functions is continuous at the specified value of 'a'. If a function is not continuous at that point, identify the kind of discontinuity involved. Follow number 3 solution below. Answer only number 4. I. f(a) ⇒h(x) = -1 II. LHL x = -1 x = -1 = 4x² + 1 = 4(-1)² + 1 = 5 RHL x = 1 4.t(x) = {√x-2 x³-1 = {4x²+1 3. h(x) = 7 x ≥ 2 x < 2 F x = 0 x=0 ; a = 2 = 4x² + 1 = 5 ; a = 0 = 4(1)² + 1 III. f(a) = lim f(x) x-0 ⇒-1 5 h(x) = (4x² + 1 " :> h(x) = 5 x = 0 x=0 x = 0 Is discontinuous and removable ; a=0
Transcribed Image Text:Determine if each of the provided functions is continuous at the specified value of 'a'. If a function is not continuous at that point, identify the kind of discontinuity involved. Follow number 3 solution below. Answer only number 4. I. f(a) ⇒h(x) = -1 II. LHL x = -1 x = -1 = 4x² + 1 = 4(-1)² + 1 = 5 RHL x = 1 4.t(x) = {√x-2 x³-1 = {4x²+1 3. h(x) = 7 x ≥ 2 x < 2 F x = 0 x=0 ; a = 2 = 4x² + 1 = 5 ; a = 0 = 4(1)² + 1 III. f(a) = lim f(x) x-0 ⇒-1 5 h(x) = (4x² + 1 " :> h(x) = 5 x = 0 x=0 x = 0 Is discontinuous and removable ; a=0
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