(a) Find and sketch the domain of the function f(x,y)=√x+2+√√√y+3 (b) Evaluate the limit -8xy lim (x,y) → (0,0) 3x² - y² along the y-axis and along the line y = x. Does the limit exist?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 51E
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(a) Find and sketch the domain of the function
f(x,y)=√x+2+√√√y+3
(b) Evaluate the limit
-8xy
lim
(x,y) → (0,0) 3x² - y²
along the y-axis and along the line y = x. Does
the limit exist?
Transcribed Image Text:(a) Find and sketch the domain of the function f(x,y)=√x+2+√√√y+3 (b) Evaluate the limit -8xy lim (x,y) → (0,0) 3x² - y² along the y-axis and along the line y = x. Does the limit exist?
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