x² ( e 15y – 1) + 3 (y- 5x²) ² 84 + 7y? +7 (y - 5x2)? Let f(x,y) = Find f(x.y). (x.y)-(0,0) lim (a) Along the parabola y = 5x2 (b) Along the x-axis (c) Along the straight line x = ky, kER f(x.y)? (X.y)-(0,0) What can be said about lim (a) The limit along the parabola y = 5x² is equal to (Type an integer or a simplified fraction.) (b) The limit along the x-axis is equal to (Type an integer or a simplified fraction.) (c) The limit along the straight line x = ky, kER is equal to (Type an integer or a simplified fraction.) What can be said about lim f(x.y)? (x.y)-(0,0) O A. The limit exists because at least two of the limits (1), (2), and (3) are equal. O B. The limit exists because the limits (1), (2), and (3) above are equal. OC. The limit does not exist because limits (1), (2), and (3) above are not all equal.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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x² (e 15y - 1) + 3 (y- 5x2) 2
Find
Let f(x,y) =
f(x,y).
(X.y)→(0,0)
lim
8x4 + 7y? + 7 (y - 5x²) ²
(a) Along the parabola y = 5x2
(b) Along the x-axis
(c) Along the straight line x = ky, kER
What can be said about
f(x.y)?
(X.y)(0,0)
lim
(a) The limit along the parabola y = 5x is equal to
(Type an integer or a simplified fraction.)
(b) The limit along the x-axis is equal to
(Type an integer or a simplified fraction.)
(c) The limit along the straight line x= ky, kER is equal to
(Type an integer or a simplified fraction.)
f(x,y)?
(X.y)→(0,0)
What can be said about
lim
O A. The limit exists because at least two of the limits (1), (2), and (3) are equal.
O B. The limit exists because the limits (1), (2), and (3) above are equal.
OC. The limit does not exist because limits (1), (2), and (3) above are not all equal.
Transcribed Image Text:x² (e 15y - 1) + 3 (y- 5x2) 2 Find Let f(x,y) = f(x,y). (X.y)→(0,0) lim 8x4 + 7y? + 7 (y - 5x²) ² (a) Along the parabola y = 5x2 (b) Along the x-axis (c) Along the straight line x = ky, kER What can be said about f(x.y)? (X.y)(0,0) lim (a) The limit along the parabola y = 5x is equal to (Type an integer or a simplified fraction.) (b) The limit along the x-axis is equal to (Type an integer or a simplified fraction.) (c) The limit along the straight line x= ky, kER is equal to (Type an integer or a simplified fraction.) f(x,y)? (X.y)→(0,0) What can be said about lim O A. The limit exists because at least two of the limits (1), (2), and (3) are equal. O B. The limit exists because the limits (1), (2), and (3) above are equal. OC. The limit does not exist because limits (1), (2), and (3) above are not all equal.
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