Answered: QUICK CHECK 3 Can the limit x? - xy lim…

Math

Calculus

QUICK CHECK 3 Can the limit x? - xy lim - be evaluated by (x. y)-(0, 0) х direct substitution?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.6: Quadratic Functions

Problem 57E

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Question

QUICK CHECK 3 Can the limit
x? - xy
lim
- be evaluated by
(x. y)-(0, 0)
х
direct substitution?

Expert Solution

Step 1

Given: $\lim_{(x, y) \to (0, 0)} \frac{x^{2} - x y}{x}$

Step by step

Solved in 2 steps