ax? + sin? Let a be a nonzero constant such that a + 34. Let f(x, y) and let L = lim(z.9) >(0,0) f(x, y). Which of the following 34x2 + y? statements is correct? ax? + sin? Türkçe: a sıfırdan farklı ve a + 34 olsun. Eğer f(x, y) lim(z,4) →(0,0) f(x, y) ise aşağıdaki cümlelerden ve L = 34x2 + y? 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 y-axis. (x-ekseni ve y- ekseni üzerinde limitler farklı olduğu için L yoktur.) O L=1 O L=a/34 O Lexists if a=35 because in this case the limit as (x,y) goes to (0,0) along x=0 is the same as the one along y3x. (Eğer a=35 ise limit vardır çünkü bu durumda x=0 ve y=x doğruları üzerinde limitler aynıdır.) O L does not exist because f is undefined at (0,0). (f fonksiyonu (0,0) noktasında tanımsız olduğu için L yoktur).

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
ax2 + sin? y
Let a be a nonzero constant such that a + 34. Let f(x, y)
and let L = lim(2.4) (0,0) f(x, y). Which of the following
34x2 + y?
statements is correct?
ax? + sin?
Türkçe: a sıfırdan farklı ve a + 34 olsun. Eğer f(x, y)
ve L = lim(r,9)→(0,0) f(x, y) ise aşağıdaki cümlelerden
34x2 + y?
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 y-axis. (x-ekseni ve y-
ekseni üzerinde limitler farklı olduğu için L yoktur.)
O L=1
O L=a/34
O L exists if a=35 because in this case the limit as (x,y) goes to (0,0) along x=0 is the same as the one along y=Dx. (Eğer a=35 ise limit
vardır çünkü bu durumda x=0 ve y=x doğruları üzerinde limitler aynıdır.)
O L does not exist because f is undefined at (0,0). (f fonksiyonu (0,0) noktasında tanımsız olduğu için L yoktur).
Transcribed Image Text:ax2 + sin? y Let a be a nonzero constant such that a + 34. Let f(x, y) and let L = lim(2.4) (0,0) f(x, y). Which of the following 34x2 + y? statements is correct? ax? + sin? Türkçe: a sıfırdan farklı ve a + 34 olsun. Eğer f(x, y) ve L = lim(r,9)→(0,0) f(x, y) ise aşağıdaki cümlelerden 34x2 + y? 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 y-axis. (x-ekseni ve y- ekseni üzerinde limitler farklı olduğu için L yoktur.) O L=1 O L=a/34 O L exists if a=35 because in this case the limit as (x,y) goes to (0,0) along x=0 is the same as the one along y=Dx. (Eğer a=35 ise limit vardır çünkü bu durumda x=0 ve y=x doğruları üzerinde limitler aynıdır.) O L does not exist because f is undefined at (0,0). (f fonksiyonu (0,0) noktasında tanımsız olduğu için L yoktur).
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