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Find the limits by rewriting the fractions first.$$\lim _{(x, y) \rightarrow(4,3) \atop x \neq y+1} \frac{\sqrt{x}-\sqrt{y+1}}{x-y-1}$$

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$\lim _{(x, y) \rightarrow(4,3)} \frac{\sqrt{x}-\sqrt{y+1}}{x-y-1}=\frac{1}{4}$

Calculus 3

Chapter 14

Partial Derivatives

Section 2

Limits and Continuity in Higher Dimensions

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Lectures

12:15

In calculus, partial derivatives are derivatives of a function with respect to one or more of its arguments, where the other arguments are treated as constants. Partial derivatives contrast with total derivatives, which are derivatives of the total function with respect to all of its arguments.

04:14

01:07

Find the limits by rewriti…

02:59

01:00

01:02

07:17

01:59

02:31

01:24

Evaluate the following lim…

00:38

Find the indicated limits.…

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