Use any method to evaluate the limit or show that the limit does not exist. (Use symbolic notation and fractions where needed. Enter DNE if the limit does not exist.) ху lim (х.у) - (0,0) 3x2 + 2у2

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

Use any method to evaluate the limit or show that the limit does not exist.

(Use symbolic notation and fractions where needed. Enter DNE if the limit does not exist.)

\[
\lim_{(x,y) \to (0,0)} \frac{xy}{3x^2 + 2y^2} = \boxed{}
\]

**Instructions**

Compute the limit or determine that it does not exist. Use any appropriate mathematical techniques, and ensure to present the final result clearly in the provided box.
Transcribed Image Text:**Problem Statement** Use any method to evaluate the limit or show that the limit does not exist. (Use symbolic notation and fractions where needed. Enter DNE if the limit does not exist.) \[ \lim_{(x,y) \to (0,0)} \frac{xy}{3x^2 + 2y^2} = \boxed{} \] **Instructions** Compute the limit or determine that it does not exist. Use any appropriate mathematical techniques, and ensure to present the final result clearly in the provided box.
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