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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.

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
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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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+1 lim (x,y) (0,0) In(x2 + y²)* x² + y²-1 x² + y² - 2y + 1 (Motivate your answer.) (1 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+1 lim (x,y) (0,0) In(x2 + y²)* x² + y²-1 x² + y² - 2y + 1 (Motivate your answer.) (1 for (x,y) (0,1)?
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