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limit as (x,y) approaches (3,3) of (x-y)/(sqrt(x)-\sqrt{y)}

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(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

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lim_{(x, y)→ (3, 3)}(x−y√x−√y )

Solution

2√3

Decimal

3.46410…

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Solution steps

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lim_{(x, y)→ (3, 3)}(x−y√x−√y )

Rationalize denominator x−y√x−√y : √x+√y

=lim_{(x, y)→ (3, 3)}(√x+√y)

Plug in the value (x, y)=(3, 3)

=√3+√3

Simplify

=2√3

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

limit as (x,y) approaches (3,3) of (x-y)/(sqrt(x)-\sqrt{y)}

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