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(x²y3 - 5y2) lim (x, y) →(4, 2)

(x²y3 - 5y2) lim (x, y) →(4, 2)

Calculus: Early Transcendentals
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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The image shows a mathematical expression for a limit in two variables. The expression is as follows: \[ \lim_{(x, y) \to (4, 2)} (x^2y^3 - 5y^2) \] There are no graphs or diagrams accompanying this expression. The goal is to evaluate the limit of the function \(x^2y^3 - 5y^2\) as the point \((x, y)\) approaches \((4, 2)\).
Transcribed Image Text:The image shows a mathematical expression for a limit in two variables. The expression is as follows: \[ \lim_{(x, y) \to (4, 2)} (x^2y^3 - 5y^2) \] There are no graphs or diagrams accompanying this expression. The goal is to evaluate the limit of the function \(x^2y^3 - 5y^2\) as the point \((x, y)\) approaches \((4, 2)\).
Expert Solution
Step 1

Given that,

There is an expression of limit is following,

lim(x, y)→(4, 2)(x2y3-5y2)

We have to find the value of this limit.

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