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Find the limits in Exercises $13-20$ by rewriting the fractions first.$$\lim _{(x, y) \rightarrow(0,0)} \frac{x-y+2 \sqrt{x}-2 \sqrt{y}}{\sqrt{x}-\sqrt{y}}$$
2
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, you find the limits very rarely confection. Now we're given as limit X y approaches 00 where X is not equal to what and X minus. Why plus two under root X minus two under. Why? Oh uh, a node X minus. And why now we'll evaluate the following limit limit X Y approaches 00 x is not equal to buy. We will get under x all square minus under Waibel Square plus two under root X minus two under rule by all our I know X minus. I know why now, using the formula another ex whole square minus and the wife will square is equals to another X minus another. Why MaliVai Under X plus another. Why Very good limit. X y approaches 00 where X is not equal to y By using the AB a formula we will get under root X minus Underwood Why multiply and Arab X plus another Why plus two MaliVai a little X minus and why? Oh uh, another X minus. And why now? By simplifying it further, we will get limit. X y approaches 00 They're X is not equal to why will get another old eggs less a little. Why less too? Now setting X equals to zero and buys It was 20 We will get another zero plus Underwood zero plus two, and we finally get to therefore the solution off the given problem that is limit X approaches 00 x is not equal to why x minus y plus 200 X minus 200 y or on the X minus. Understood, why is equals two, So that's a final solution.
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