Question

Evaluate the following limit.
lim sqrt(x+y) -3
(x,y) ->(3,6) /(x+y-9)

Answer 1

reformatted:
\[\lim_{(x,y) \rightarrow (3,6)}\frac{ \sqrt{x+y} -3}{ x+y-9 }\]

Answer 2

multiply by conjugate
\[\frac{\sqrt{x +y} -3}{x+y-9}*\frac{\sqrt{x +y} +3}{\sqrt{x +y} +3}\]

Answer 3

the "x+y-9" terms will cancel out

Answer 4

Thanks, lemme give this a try

Answer 5

Thank you