Find lim (₁x) (0,0) (x²-16) (0₁ [(x-4)² ty ²] if it exists

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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5) Find lim
(₁x) (0,0)
+
(x²-16) (o) [(x-4)² ty ²] if it exists
Transcribed Image Text:5) Find lim (₁x) (0,0) + (x²-16) (o) [(x-4)² ty ²] if it exists
Expert Solution
Step 1: Introduce to the given information

Let,

the given limit is

L equals limit as open parentheses x comma y close parentheses rightwards arrow open parentheses 0 comma 0 close parentheses of space open parentheses x squared minus 16 close parentheses fraction numerator 1 over denominator cos open square brackets open parentheses x minus 4 close parentheses squared plus y squared close square brackets end fraction

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