Tutorial Exercise Find the limit (if it exists). x2 lim (x, y)→(0, 0) (x² + 8)(y² + 8) Step 1 Use the property of limits of quotients to obtain the given limit. Directly substitute the values of the variable' limits into the function. 2 x2 lim (x, y) → (0, 0) (x² + 8)(y² + 8) + 8)( + 8)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Tutorial Exercise
Find the limit (if it exists).
x2
lim
(x, y) → (0, 0) (x? + 8)(y² + 8)
Step 1
Use the property of limits of quotients to obtain the given limit. Directly substitute the values of the variable's
limits into the function.
2
x2
lim
(x, y) → (0, 0) (x² + 8)(y² + 8)
2
2
+ 8)(
+ 8)
Transcribed Image Text:Tutorial Exercise Find the limit (if it exists). x2 lim (x, y) → (0, 0) (x? + 8)(y² + 8) Step 1 Use the property of limits of quotients to obtain the given limit. Directly substitute the values of the variable's limits into the function. 2 x2 lim (x, y) → (0, 0) (x² + 8)(y² + 8) 2 2 + 8)( + 8)
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