az² + sin² y 20x² + y² is correct? Let a be a nonzero constant such that a 20. Let f(x, y) - L = lim(z) (0,0) f(x, y). Which of the following statements ar² + sin² y Türkçe: a sıfırdan farklı ve a 20 olsun. Eger f(x, y) = L = lim(z) (0,0) f(x, y) ise aşağıdaki cümlelerden hangisi doğrudur? 20x² + y² ve 0 11 O L=a/20 and let OL 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.) OL does not exist because f is undefined at (0,0). (f fonksiyonu (0,0) noktasında tanımsız olduğu için L yoktur). OL exists if a=21 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-21 ise limit vardır çünkü bu durumda x=0 ve y=x doğruları üzerinde limitler aynıdır.)

Q: 3x2 + 1?y? + 3y? + 3z2 3 Show that lim (1,y,2)+(0,0,0) 1² + y? + z²

A: The given rational function is 3x2+x2y2+3y2+3z2x2+y2+z2. Evaluate the limit along the line y=0,z=0.…

Q: Find lim (1 + sin5x) cot3x x-0+

A:

Q: lim. Vx-1 х2-4) п-20+ \x2-4

A: To find the Value of

Q: flx) = Jx-7 Lim f(3+h)-f(3) ||

A:

Q: Evaluate lim (x,y) →(0,0) x³ +35x² + 7y²2 5x² + y² 11

A:

Q: Зх + 1 1 lim x→0 sin x 5 2 3 1 2

A:

Q: 5x - 1 b) lim Z-+0+ 10z

A: We have to find

Q: 1 I 4 x 4 x 4 49. lim-

A:

Q: - 5. Evalaute lim VI - 3

A: Given,

Q: Evaluate the following (a 2x²-3x 3x² +4 (1): lim 242 x + 2 (2): lim 5-3 sin 2.x 10+2 tan 3.x (3):…

A: We have to evaluate: Calculation:

Q: Name the method by determining whether I'Hôpital's Rule should be used or not. CSC x lim x+0+ √x

A: Need to write down the method to determine that l hospital is applicable or not.

Q: fnd 4. lim cosx)

A: