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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 5. 5.g(x) = 3. h(x) = {4x1 x² +1 1-x (4x²+1 x=0 x=0 F ; a= 2 . ; a=0

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 5. 5.g(x) = 3. h(x) = {4x1 x² +1 1-x (4x²+1 x=0 x=0 F ; a= 2 . ; a=0

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 5. I. f(a) ⇒h(x) = -1 II. LHL x = -1 x = -1 = 4x² + 1 = 4(-1)² + 1 = 5 RHL x = 1 5. g(x) = 3. h(x) = = x² +1 1-x (4x² +1 -1 3 ; a = 2 x=0 x=0 = 4x² + 1 ; a = 0 = 4(1)² + 1 = 5 III. f(a) = lim f(x) D+x ⇒-15 :. h(x) = {4x² +1 x #0 x=0 Is discontinuous and removable :h(x) = 5 x = 0 ; 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 5. I. f(a) ⇒h(x) = -1 II. LHL x = -1 x = -1 = 4x² + 1 = 4(-1)² + 1 = 5 RHL x = 1 5. g(x) = 3. h(x) = = x² +1 1-x (4x² +1 -1 3 ; a = 2 x=0 x=0 = 4x² + 1 ; a = 0 = 4(1)² + 1 = 5 III. f(a) = lim f(x) D+x ⇒-15 :. h(x) = {4x² +1 x #0 x=0 Is discontinuous and removable :h(x) = 5 x = 0 ; a=0
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