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

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 distraction. Now we're given as limit X y approaches to where X plus Why is not equal to four and x plus y minus. Pull over Underwood X Plus y minus two now will proceed as limit. X Y approaches to their X plus y is not ableto fall the right this as under root off X plus y minus two Modify under X plus y plus two Oh, uh, under X plus. Why minus two now simplifying it by canceling the common factors they will get. Limit X y approaches to Underwood X plus Y plus two. Now putting the limits off X and Y don't get under Road two plus two plus two By simplifying it, Father, we will get two plus two is equals to four. Therefore, the solution off the human problem that is limit X y approaches toe. The X Plus y is not equal to four x plus y minus four over a little X plus y minus two is equals to four. So there's the final solution

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