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x+y3 Consider lim Which ONE of the following statements is TRUE? (.y)- (1, -1) x+y A. None of the choices in the list. B. For every number e >0 there is a corresponding number 8>0 such that if point (x,y) is in the domain of f (x,y) = - x+y and 00 there is a corresponding number 8>0 such that if point x+y and 00 there is a corresponding number 6>0 such that if point (x,y) is in the domain of f (x,y) =- +y3 - and 0< /(x-1)2+(y+1)? <8 x+y and then |5 (x,y) – 3|

x+y3 Consider lim Which ONE of the following statements is TRUE? (.y)- (1, -1) x+y A. None of the choices in the list. B. For every number e >0 there is a corresponding number 8>0 such that if point (x,y) is in the domain of f (x,y) = - x+y and 00 there is a corresponding number 8>0 such that if point x+y and 00 there is a corresponding number 6>0 such that if point (x,y) is in the domain of f (x,y) =- +y3 - and 0< /(x-1)2+(y+1)? <8 x+y and then |5 (x,y) – 3|

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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x+ y3 Consider lim Which ONE of the following statements is TRUE? (x.y)-(1,-1) x+y A. None of the choices in the list. B. For every number e>0 there is a corresponding number 8>0 such that if point (x,y) is in the domain of f (x,y) = - and 0< /(x-1)²+(y+1)? <8 and then |f (x,y) + 3|<e; C. For every number e>0 there is a corresponding number 8>0 such that if point (x.y) is in the domain of f(x.y) = and 0<(x-1)2+ (y+1)? <8 x+y and then |f (x,y) – 3| <e; D. For some number e>0 there is a correspomding number &>0 such that if point (x,y) is in the domain of f (x,y) = - x+y and 0<(x-1)2+ (y+1)? <8 and then |f (x,y) – 3|<e; E. The limit does not exist;
Transcribed Image Text:x+ y3 Consider lim Which ONE of the following statements is TRUE? (x.y)-(1,-1) x+y A. None of the choices in the list. B. For every number e>0 there is a corresponding number 8>0 such that if point (x,y) is in the domain of f (x,y) = - and 0< /(x-1)²+(y+1)? <8 and then |f (x,y) + 3|<e; C. For every number e>0 there is a corresponding number 8>0 such that if point (x.y) is in the domain of f(x.y) = and 0<(x-1)2+ (y+1)? <8 x+y and then |f (x,y) – 3| <e; D. For some number e>0 there is a correspomding number &>0 such that if point (x,y) is in the domain of f (x,y) = - x+y and 0<(x-1)2+ (y+1)? <8 and then |f (x,y) – 3|<e; E. The limit does not exist;
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