xy Let f(x, y) and let L = lim2.y) ->(0,0) f(x, y). Which of the following 5æ2 + 3y2 statements is correct?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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xy
Let f(x, y)
and let L = lim(a.4) >(0,0) f(x, y). Which of the following
5æ2 + 3y2
statements is correct?
xy
Türkçe: Eğer f(x, y)
ve L
5x2 + 3y2
lim(z,9)→(0,0) (x, y) ise aşağıdaki cümlelerden
hangisi doğrudur?
O L does not exist because the limit as (x,y) goes to (0,0) along the x-axis is different from
the one along the line x=y. (x-ekseni ve x=y doğrusu üzerinde limitler farklı olduğu için
limit yoktur.)
O L does not exist because f(x,y) is not defined at (0,0). (f(x,y) fonksiyonu (0,0) noktasında
tanımsız olduğu için L yoktur.)
O L=0
O L does not exist because the limit as (x,y) goes to (0,0) along the x-axis is different from
the one along the y-axis. (x-ekseni ve y-ekseni üzerinde limitler farklı olduğu için L
yoktur.)
O L=3/8
O L=1/8
Transcribed Image Text:xy Let f(x, y) and let L = lim(a.4) >(0,0) f(x, y). Which of the following 5æ2 + 3y2 statements is correct? xy Türkçe: Eğer f(x, y) ve L 5x2 + 3y2 lim(z,9)→(0,0) (x, y) ise aşağıdaki cümlelerden hangisi doğrudur? O L does not exist because the limit as (x,y) goes to (0,0) along the x-axis is different from the one along the line x=y. (x-ekseni ve x=y doğrusu üzerinde limitler farklı olduğu için limit yoktur.) O L does not exist because f(x,y) is not defined at (0,0). (f(x,y) fonksiyonu (0,0) noktasında tanımsız olduğu için L yoktur.) O L=0 O L does not exist because the limit as (x,y) goes to (0,0) along the x-axis is different from the one along the y-axis. (x-ekseni ve y-ekseni üzerinde limitler farklı olduğu için L yoktur.) O L=3/8 O L=1/8
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