ax? + sin y and let L = lim(z,y) (0,0) f(z, y). Which of the following statements is correct?Let a be a nonzero constant such that a + 88. Let f(x, y)88x? + y?ax? + sin? y88z2 + y?Türkçe: a sıfırdan farklı ve a + 88 olsun. Eğer f(x, y) =ve L = lim29) → (0,0) f(x, y) ise aşağıdaki cümlelerden hangisi doğrudur?O L=1O L-a/88O L does not exist because f is undefined at (0,0). (f fonksiyonu (0,0) noktasında tanımsız olduğu için L yoktur).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 exists if a=89 because in this case the limit as (xy) goes to (0,0) along x=0 is the same as the one along y=x. (Eğer a=89 ise limit vardır çünkü bu durumda x=0 ve y=x doğrularıüzerinde limitler aynıdır.)

Answered: Image /qna-images/answer/75232176-12d9-4851-9e03-e41f0437193d.jpg

Answered: az? + sin? Let a be a nonzero constant…

az? + sin? Let a be a nonzero constant such that a + 88. Let f(x, y) = and let L = limzv)-(0.0) f(x, y). Which of the following statements is correct? 88z2 + y?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...

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Concept explainers

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

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Question

ax? + sin y and let L = lim(z,y) (0,0) f(z, y). Which of the following statements is correct?
Let a be a nonzero constant such that a + 88. Let f(x, y)
88x? + y?
ax? + sin? y
88z2 + y?
Türkçe: a sıfırdan farklı ve a + 88 olsun. Eğer f(x, y) =
ve L = lim29) → (0,0) f(x, y) ise aşağıdaki cümlelerden hangisi doğrudur?
O L=1
O L-a/88
O L does not exist because f is undefined at (0,0). (f fonksiyonu (0,0) noktasında tanımsız olduğu için L yoktur).
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 exists if a=89 because in this case the limit as (xy) goes to (0,0) along x=0 is the same as the one along y=x. (Eğer a=89 ise limit vardır çünkü bu durumda x=0 ve y=x doğruları
üzerinde limitler aynıdır.)

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