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.) x² - 14 lim (x,y)-(0,0) 9x4 + 4x²y² + y4 =
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.) x² - 14 lim (x,y)-(0,0) 9x4 + 4x²y² + y4 =
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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![**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.)
\[ \lim_{(x,y) \to (0,0)} \frac{x^4 - y^4}{9x^4 + 4x^2 y^2 + y^4} = \boxed{} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3ed4e6f2-ec2f-4b59-835f-0c83565bb723%2F6c9f34b3-6abc-4af3-95c7-038d68d55416%2Fpu7rtno_processed.png&w=3840&q=75)
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.)
\[ \lim_{(x,y) \to (0,0)} \frac{x^4 - y^4}{9x^4 + 4x^2 y^2 + y^4} = \boxed{} \]
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