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Find the limits in Exercises $13-20$ by rewriting the fractions first.$$\lim _{(x, y) \rightarrow(2,0) \atop 2 x-y \neq 4} \frac{\sqrt{2 x-y}-2}{2 x-y-4}$$

$\frac{1}{4}$

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, we have to find the limits by rewriting the fraction were given as limit. X y approaches 20 That two x minus y is not equal to four and under two X minus Y minus two over two X minus Y minus four. Now we can write this as limit X Y approaches 20 The two X minus Y is not equal to four. You can write. This s under two X minus Y minus two. Oh, uh, under rude to x minus Y plus two, multiply the route to X minus Y minus two. Now cancel the non zero factor Our little two x minus Y minus two, and we will get limit X Y approaches to zero one over under two X minus Wife plus who now set X is equal to two and buys equals to zero. We'll get one over under. Rude to multiply two minus zero plus two. Nice. By solving this, we will get 1/4. Therefore, the solution off the given problem that is. Limit X Y approaches to zero where two x minus Y is not ableto four and another two x minus Y minus two over two x minus Y minus four is equals toe one or four. There's a solution

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