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(a) lim (x,y)→(1,−1) 2x + y - 1 x² — y² + 1

(a) lim (x,y)→(1,−1) 2x + y - 1 x² — y² + 1

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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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.
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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