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Find the limits in Exercises $13-20$ by rewriting the fractions first.$$\lim _{(x, y) \rightarrow(1,1)} \frac{x^{2}-2 x y+y^{2}}{x-y}$$

$\lim _{(x, y) \rightarrow(1,1)} \frac{x^{2}-2 x y+y^{2}}{(x-y)}=0$

Calculus 3

Calculus 1 / AB

Chapter 14

Partial Derivatives

Section 2

Limits and Continuity in Higher Dimensions

Applications of the Derivative

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in this problem here to find the limits, very writing affection. Now we are given that limit. X Y approaches 11 on X is not equal to why X squared minus two weeks. Why less by square over X minus y now, since the numerator and denominator approaches zero as X Y approaches 11 you cannot use the question, too. Now rewriting distractions. We will get limit X Y approaches bandwagon and X is not equal to why we'll get X minus y whole square our X minus. Why now? We will use the formula A minus bi whole square is equals toe a square minus two way because the square now using this, we will get limit. Ex lie approaches 11 x minus y and putting the value of X and y as 11 will get one minus one is equals toe zero. Therefore, limit X Y approaches 11 on X is not equal to why X square minus two weeks. Wife plus y squared or X minus Y is it was 20 so there's a fine, essential

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