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Consider the function f(x,y) = Which ONE of the following statements is TRUE? OA lim f(x,y) exists and it is equal to 1 as verified along x-axis and y-axis; (x,y) → (0,0) OB. The function f is not continuous at point (0,0); ос. lim f(x,y) exists and it is equal to 0; (x,y) → (0,0) D. The function f is continuous in the whole domain; OE. None of the choices in the list.

Consider the function f(x,y) = Which ONE of the following statements is TRUE? OA lim f(x,y) exists and it is equal to 1 as verified along x-axis and y-axis; (x,y) → (0,0) OB. The function f is not continuous at point (0,0); ос. lim f(x,y) exists and it is equal to 0; (x,y) → (0,0) D. The function f is continuous in the whole domain; OE. None of the choices in the list.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the function f (x,y) =| Which ONE of the following statements is TRUE? f (x,y) exists and it is equal to 1 as verif ied along x – axis and y– axis; OA. lim (л.у) — (0,0) O B. The function f is not continuous at point (0,0); lim f (x,y) exists and it is equal to 0; OC. (х.у) - (0,0) O D. The functionf is continuous in the whole domain; O E. None of the choices in the list.
Transcribed Image Text:Consider the function f (x,y) =| Which ONE of the following statements is TRUE? f (x,y) exists and it is equal to 1 as verif ied along x – axis and y– axis; OA. lim (л.у) — (0,0) O B. The function f is not continuous at point (0,0); lim f (x,y) exists and it is equal to 0; OC. (х.у) - (0,0) O D. The functionf is continuous in the whole domain; O E. None of the choices in the list.
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