** Final Answer

**

** Step-by-step Solution **

** Specify the solving method

**

**

Factor the difference of squares $x-9$ as the product of two conjugated binomials

Learn how to solve problems step by step online.

$\frac{\sqrt{x}-3}{\left(\sqrt{x}+3\right)\left(\sqrt{x}-3\right)}$

Learn how to solve problems step by step online. Find the limit (x)->(9)lim((x^1/2-3)/(x-9)). Factor the difference of squares x-9 as the product of two conjugated binomials. Simplify the fraction \frac{\sqrt{x}-3}{\left(\sqrt{x}+3\right)\left(\sqrt{x}-3\right)} by \sqrt{x}-3. Evaluate the limit \lim_{x\to9}\left(\frac{1}{\sqrt{x}+3}\right) by replacing all occurrences of x by 9. Calculate the power \sqrt{9}.

** Final Answer

**