\lim _{x\to 3}\left(\frac{\sqrt{x-2}-1}{\:\sqrt{x+4}-\sqrt{7}}\right)
You asked:
Evaluate the expression: \(\lim_{x \to 3}{\frac{\sqrt{x - 2} - 1}{\sqrt{x + 4} - \sqrt{7}}}\)
MathBot Answer:
\[\lim_{x \to 3}{\frac{\sqrt{x - 2} - 1}{\sqrt{x + 4} - \sqrt{7}}} = \sqrt{7}\]