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4. Determine the constant < so that the function (sin(x3 - 1) X - | f(x) = X #1 X = | is continuDus in R. (A) First explain why the fun

4. Determine the constant < so that the function (sin(x3 - 1) X - | f(x) = X #1 X = | is continuDus in R. (A) First explain why the fun

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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See both pics. one is in swedish

other one is translated but maybe some words missing so please check both picture

4. Bestäm konstanten c så att funktionen (sin(x³ – 1) f(x) = x + 1 х — 1 x = 1 är kontinuerlig i R. (a) Förklara först varför funktionen är kontinuerlig i alla x + 1. (b) Förklara sedan hur du kan välja c så att funktionen är kontinuerlig i x = 1. Ange villkoret för kontinuitet och visa tydligt hur du använder villkoret för kontinuitet för att lösa problemet. För (a) och (b), glöm inte att nämna matematiska satser som är viktiga i sammanhanget och diskutera hur du använder dem.
Transcribed Image Text:4. Bestäm konstanten c så att funktionen (sin(x³ – 1) f(x) = x + 1 х — 1 x = 1 är kontinuerlig i R. (a) Förklara först varför funktionen är kontinuerlig i alla x + 1. (b) Förklara sedan hur du kan välja c så att funktionen är kontinuerlig i x = 1. Ange villkoret för kontinuitet och visa tydligt hur du använder villkoret för kontinuitet för att lösa problemet. För (a) och (b), glöm inte att nämna matematiska satser som är viktiga i sammanhanget och diskutera hur du använder dem.
4. Determine the <onstant < so that the function ktiohen (sin(x3 - 1) X # 1 X - I f(x) %3D is continuous in R: (A) First explaio why the functionis continupus in All x # 1. (b) Then explain how to select < so that the funtion is Kontinvoust in x=lig Enter the condition of Kontinuity and display <learly how to use the condition of<ontinvity to solve the problemr For(a) and (b), do'not forget that tt mention mathematical theorems that are importantin the contextand discuss how to use them.m.
Transcribed Image Text:4. Determine the <onstant < so that the function ktiohen (sin(x3 - 1) X # 1 X - I f(x) %3D is continuous in R: (A) First explaio why the functionis continupus in All x # 1. (b) Then explain how to select < so that the funtion is Kontinvoust in x=lig Enter the condition of Kontinuity and display <learly how to use the condition of<ontinvity to solve the problemr For(a) and (b), do'not forget that tt mention mathematical theorems that are importantin the contextand discuss how to use them.m.
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