(x-1)(y-2) Is ƒ(x,y)= { x² − 2x + y² − 4y+5 0 (x, y) (1,2) (x, y)=(1,2) continuous?
(x-1)(y-2) Is ƒ(x,y)= { x² − 2x + y² − 4y+5 0 (x, y) (1,2) (x, y)=(1,2) continuous?
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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Question
I know that I need to check the limit of the top function as (x,y) -> (1, 2) but I can't figure out how to do it.
On various online resources, the steps to finding the limits of multivariable functions seem to be completely different depending on the function. If possible could you please show a way that will work for any function?
Transcribed Image Text:(x−1)(y−2)
Is ƒ(x, y) = { x² − 2x + y² −4y+5 (x,y)*(1,2)
0
(x, y)=(1,2)
continuous?
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