Question

find the limit: lim of x is 9, radical x minus 3/x-9, i have the answer but i need someone to work it out please

Answer 1

\[\lim_{x\rightarrow 9}\frac{\sqrt{x}-3}{x-9}\]??

Answer 2

multiply by
\[\frac{\sqrt{x}+3}{\sqrt{x}+3}\] to get
\[\frac{x-9}{(x-9)(\sqrt{x}-3)}\] then cancel and replace x by 9