Consider the function f (x,y) =|x²+xWhich ONE of the following statementsis 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);limf (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.

Answered: Image /qna-images/answer/e96c4a74-eae1-46b5-838e-95d1af19b907.jpg

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.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

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