Evaluate the limit using continuity. (Use symbolic notation and fractions where needed.) lim (х.у)- (3,6) х +у
Evaluate the limit using continuity. (Use symbolic notation and fractions where needed.) lim (х.у)- (3,6) х +у
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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![**Evaluating Limits Using Continuity**
In this exercise, you are tasked with evaluating the limit of a given function as a point approaches a specified value. The function in question is defined as follows:
\[
\lim_{(x,y)\rightarrow(3,6)} \frac{e^{x^2} - e^{y^2}}{x + y}
\]
To solve this limit, consider using tools involving continuity and the properties of exponential functions. Use symbolic notation and fractions where needed for precision in your calculations.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F51ff2e68-0bd1-44c4-8696-122fa89f1551%2F38ca083c-a869-480a-b0f0-45fd0ab10ab4%2Fcl4dq83_processed.png&w=3840&q=75)
Transcribed Image Text:**Evaluating Limits Using Continuity**
In this exercise, you are tasked with evaluating the limit of a given function as a point approaches a specified value. The function in question is defined as follows:
\[
\lim_{(x,y)\rightarrow(3,6)} \frac{e^{x^2} - e^{y^2}}{x + y}
\]
To solve this limit, consider using tools involving continuity and the properties of exponential functions. Use symbolic notation and fractions where needed for precision in your calculations.
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