(3) Find the limit if it exists.1³ – ry?lim(a)(1,9)-(0,0) r2 + y?(b) (.3)lim (r? + y*) In (x² + y²)(1,4)(0,0)(c) ( )lim(1,9)(0,0) z4 + y6 – x²y2"

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Answered: Find the limit if it exists. 1³ – ry?…

Find the limit if it exists. 1³ – ry? lim (a) (1,9)-(0,0) r2 + y? (b) (. 3) lim (a? + y*) In (x² + y²) (1,9)-(0,0) (c) () lim (1.y)(0,0) z4 + y6 – x²y2"

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 8E

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Concept explainers

Limits of Multivariable Functions

Multivariable calculus is an extension of single variable calculus. It involves several variables instead of just one. Assume there is an open set containing points (x0, y0), let f be a function defined in that open interval except for the points (x0, y0). The multivariable limit of this function as it approaches the points (x0, y0) and is denoted as:

Question

(3) Find the limit if it exists.
1³ – ry?
lim
(a)
(1,9)-(0,0) r2 + y?
(b) (.
3)
lim (r? + y*) In (x² + y²)
(1,4)(0,0)
(c) ( )
lim
(1,9)(0,0) z4 + y6 – x²y2"

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