ax? + sin? Let a be a nonzero constant such that a + 21. Let f(x, y) and let 21x? + y? lim(a,y)→(0,0) f(x, y). Which of the following statements is correct? ax? + sin? y Türkçe: a sıfırdan farklı ve a 21 olsun. Eğer f(x, y) ve 21x2 + y? L= lim(a,y) >(0,0) f(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 y-axis. (x-ekseni ve y-ekseni üzerinde limitler farklı olduğu için L yoktur.) O L exists if a=22 because in this case the limit as (x,y) goes to (0,0) along x=0 is the same as the one along y=x. (Eğer a=22 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). O L=a/21 O L=1

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.