Evaluate the limit $\lim_{x\to10}\left(\frac{\sqrt{x+6}-4}{x-10}\right)$ by replacing all occurrences of $x$ by $10$
$\frac{\sqrt{10+6}-4}{10-10}$
2
Subtract the values $10$ and $-10$
$\frac{\sqrt{10+6}-4}{0}$
3
Add the values $10$ and $6$
$\frac{\sqrt{16}-4}{0}$
4
Calculate the power $\sqrt{16}$
$\frac{4-4}{0}$
5
Subtract the values $4$ and $-4$
$\frac{0}{0}$
6
$\frac{0}{0}$ represents an indeterminate form
indeterminate
Final answer to the problem
indeterminate
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