Final Answer
Step-by-step Solution
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Evaluate the limit $\lim_{x\to10}\left(\frac{\sqrt{x+6}-4}{x-10}\right)$ by replacing all occurrences of $x$ by $10$
Subtract the values $10$ and $-10$
Add the values $10$ and $6$
Calculate the power $\sqrt{16}$
Subtract the values $4$ and $-4$
$\frac{0}{0}$ represents an indeterminate form