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x²– y² Consider the function f (x,y) = Which ONE of the following statements x²+ y² is TRUE? f (x,y) exists and it is equal to 1 as verified along x– axis and y – axis; OA. lim (х.у) — (0,0) 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) D. The function f is continuous in the whole domain; E. None of the choices in the list.

x²– y² Consider the function f (x,y) = Which ONE of the following statements x²+ y² is TRUE? f (x,y) exists and it is equal to 1 as verified along x– axis and y – axis; OA. lim (х.у) — (0,0) 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) D. The function f is continuous in the whole domain; E. None of the choices in the list.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Consider the function f (x,y) =| x²+x 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 (х.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 function f is continuous in the whole domain; O E. None of the choices in the list.
Transcribed Image Text:Consider the function f (x,y) =| x²+x 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 (х.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 function f is continuous in the whole domain; O E. None of the choices in the list.
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