3. a) Examine if the following limit exists, x+y+1 lim (x,y) (0,0) In(x2 + y²)* If the limit exist, specify the value of the limit value. (

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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3.
a) Examine if the following limit exists,
If the limit exist, specify the value of the limit value. (
b) Is it possible to define f(0,1) such that f becomes continuous at the point (0,1) when
f(x,y)=
=
x+y+l
lim
(x,y)+(0,0) In(x2 + y²)*
x² + y²-1
x² + y² - 2y + 1
(Motivate your answer.) (i
for (x,y) (0,1)?
Transcribed Image Text:3. a) Examine if the following limit exists, If the limit exist, specify the value of the limit value. ( b) Is it possible to define f(0,1) such that f becomes continuous at the point (0,1) when f(x,y)= = x+y+l lim (x,y)+(0,0) In(x2 + y²)* x² + y²-1 x² + y² - 2y + 1 (Motivate your answer.) (i for (x,y) (0,1)?
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