Consider the function f (x,y)Which ONE of the following statements+²+y²is TRUE?O A.f (x, y) exists and it is equal to 1 as verified along x- axis and y - axis;lim(x,y) - (0,0)B. The function f is not continuous at point (0,0);OC.limf (x, y) exists and it is equal to 0;(x,y) - (0,0)D. The functionf is continuous in the whole domain;E. None of the choices in the list.

We have to find the limit at point (0,0).

x²–y² onsider the function f (x,y)=| Which ONE of the following statements x²+y², TRUE? DA. (х.у) — (0,0) f (x,y) exists and it is equal to 1 as verified along x – axis and y – axis; lim O B. The function f is not continuous at point (0,0); f (x.y) exists and it is equal to 0; lim (х.у) — (0,0) O D. The function f is continuous in the whole domain; E. None of the choices in the list.

x²–y² onsider the function f (x,y)=| Which ONE of the following statements x²+y², TRUE? DA. (х.у) — (0,0) f (x,y) exists and it is equal to 1 as verified along x – axis and y – axis; lim O B. The function f is not continuous at point (0,0); f (x.y) exists and it is equal to 0; lim (х.у) — (0,0) O 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...

See similar textbooks