Question

$$ lim_{x \to 11} \frac{sqrt{x - 10} - 11}{x - 6} $$

Explanation:

Step1: Substitute \(x = 11\) into the expression

Substitute \(x = 11\) into \(\frac{\sqrt{x - 10}-11}{x - 6}\). We get \(\frac{\sqrt{11 - 10}-11}{11 - 6}=\frac{\sqrt{1}-11}{5}=\frac{1 - 11}{5}=\frac{- 10}{5}=-2\)

Answer:

\(-2\)