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

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