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Problem

Find the limits in Exercises $21-26$. $$ \lim _…

01:51

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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62 Problem 63 Problem 64 Problem 65 Problem 66 Problem 67 Problem 68

Problem 22 Easy Difficulty

Find the limits in Exercises $21-26$.
$$
\lim _{P \rightarrow(1,-1,-1)} \frac{2 x y+y z}{x^{2}+z^{2}}
$$

Answer

$-\frac{1}{2}$

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Calculus 3

Calculus 1 / AB

Thomas Calculus

Chapter 14

Partial Derivatives

Section 2

Limits and Continuity in Higher Dimensions

Related Topics

Partial Derivatives

Applications of the Derivative

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Problem 27

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Problem 48

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Problem 50

Problem 51

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Problem 53

Problem 54

Problem 55

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Video Transcript

it is given that limit. Pay a protest to one comma, minus one comma minus one doing to ex wife plus y into Z divided by X square, plus the square. By applying limits, Visit X equals to one. Why is equals to minus one on these equals to minus one. We get Limit the approaches toe one comma minus one comma minus one to win two weeks into wife plus buying two Z divided by X squared. Plus the square, which is equals to two into one into minus one plus minus one into minus one, divided by one square, plus minus one square. But simplifying it. We get minus to plus find divided by two, which is equals to minus one. Upon to does. The solution is minus one upon them. This is the final answer.

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George B. Thomas, Maurice D. Weir, Joel Hass, Frank R. Giordano

Thomas Calculus

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