(a) lim (x,y)→(1,−1) 2x + y - 1 x² — y² + 1
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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Question
Find each limit or show why the limit does not exist.
![The image presents a mathematical expression for calculating the limit of a function as the variables \( x \) and \( y \) approach the point \( (1, -1) \). The expression is:
\[
(a) \quad \lim_{(x, y) \to (1, -1)} \frac{2x + y - 1}{x^2 - y^2 + 1}
\]
There are no graphs or diagrams accompanying this expression.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1784d6b6-d0da-4ca6-88bb-f1a2aff3fb92%2Fff17f8ff-d615-43b5-a045-977f581ffb26%2Fywugk6_processed.png&w=3840&q=75)
Transcribed Image Text:The image presents a mathematical expression for calculating the limit of a function as the variables \( x \) and \( y \) approach the point \( (1, -1) \). The expression is:
\[
(a) \quad \lim_{(x, y) \to (1, -1)} \frac{2x + y - 1}{x^2 - y^2 + 1}
\]
There are no graphs or diagrams accompanying this expression.
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