The limit of f(x, y) as y → 0 along the path a x=y is 1. The limit of f(x, y) as y → 0 along the path z = y² is 1. • ƒ(0,0) = 2. Which of the following statements must be true?
The limit of f(x, y) as y → 0 along the path a x=y is 1. The limit of f(x, y) as y → 0 along the path z = y² is 1. • ƒ(0,0) = 2. Which of the following statements must be true?
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
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Transcribed Image Text:Let f(x, y) be a function such that
The limit of f(x, y) as y → 0 along the path x = y is 1.
. The limit of f(x, y) as y → 0 along the path z = y² is 1.
f(0,0) = 2.
Which of the following statements must be true?
Of is not continuous at (0, 0).
O The limit of f(x, y) as y→ 0 along the path = 2y is 1.
lim f(x, y) does not exist.
(x,y) →(0,0)
lim f(x, y) = 1
(x,y) (0,0)
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