lim f(x, y) = 6, then f(1.9, 2.9) = 6- %3D (x, y) + (2, 3) If f(4, 5) = 3 Vf(4, 5) = (-3, 2) then f(3.9, 4.9) 3.1 %3D If f(x, y) →2 as (x, y) → (0, 0) along every straight line through (0, 0), then lim f(x, y) = 2.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.10: Partial Fractions
Problem 2E
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Please indicate whether these statements are true or false and explain your reasoning

lim
(x, y) - (2, 3)
f(x, y) = 6, then f(1.9, 2.9) = 6-
)If f(4, 5) = 3 Vf(4, 5) = (-3, 2) then f(3.9, 4.9) - 3.1.
%3D
If f(x, y) →2 as (x, y) → (0, 0) along every straight line through (0, 0), then
lim
f(x, y) = 2.
(x, y) + (0, 0)
Transcribed Image Text:lim (x, y) - (2, 3) f(x, y) = 6, then f(1.9, 2.9) = 6- )If f(4, 5) = 3 Vf(4, 5) = (-3, 2) then f(3.9, 4.9) - 3.1. %3D If f(x, y) →2 as (x, y) → (0, 0) along every straight line through (0, 0), then lim f(x, y) = 2. (x, y) + (0, 0)
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