sin (xy)Which ONE of the following statements is TRUE with regards to lim(x,y) → (0,0) x² + y2O A. The limit exists and is equal to 1.OB. The limit exists and is equal to 0.OC. None of the choices in this list.O D. Along path x=0 and path y=mx, limits are not equal for m #0, hence limit does not exist.O E. Function is defined at (0,0), hence limit exists.

The correct answer is option D.

Answered: Which ONE of the following statements…

Math

Calculus

Which ONE of the following statements is TRUE with regards to lim (x,y) → (0,0) sin (xy) x² + y²

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter1: Functions

Section1.2: Functions Given By Tables

Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...

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Question

sin (xy)
Which ONE of the following statements is TRUE with regards to lim
(x,y) → (0,0) x² + y2
O A. The limit exists and is equal to 1.
OB. The limit exists and is equal to 0.
OC. None of the choices in this list.
O D. Along path x=0 and path y=mx, limits are not equal for m #0, hence limit does not exist.
O E. Function is defined at (0,0), hence limit exists.

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