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. (
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. (
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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