ar² + sin? y 29z² + y² and let L = lim(z,9) »(0,0) f(x, y). Which of Let a be a nonzero constant such that a 29. Let f(x, y) = the following statements is correct? az² + sin² y Türkçe: a sıfırdan farklı ve a # 29 olsun. Eğer f(x, y) : 29z² + y? ve L = limz9) (0,0) F(z, y) ise aşağıdaki cümlelerden hangisi doğrudur? O L does not exist because f is undefined at (0,0). (f fonksiyonu (0,0) noktasında tanımsız olduğu için L yoktur). O Lexists if a=30 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=30 ise limit vardır çünkü bu durumda x=0 ve y=x doğruları üzerinde limitler aynıdır.) O L does not exist because the limit as (xy) 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=a/29 O L=1

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.