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