Q8:- Find the limit of the following functions:-x² – 2xy + y²ху — у — 2х + 2(1) Lim(х, у) >(0,0)(X#y(2)Lim(х, у) —>(1,1)X#1X - yX-1

First we simply numerator by applying appropriate identities or factorization of it

Answered: Q8:- Find the limit of the following…

Q8:- Find the limit of the following functions:- x2 - 2xy + y (1) Lim (х,у) —>(0,0) X+y ху — у — 2х + 2 х —1 (2) Lim X - y (х,у) —>(1,) X#1

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 50E

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Concept explainers

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.

Question

Q8:- Find the limit of the following functions:-
x² – 2xy + y²
ху — у — 2х + 2
(1) Lim
(х, у) >(0,0)(
X#y
(2)
Lim
(х, у) —>(1,1)
X#1
X - y
X-1

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