\lim _{x\to 3\:}\left(\frac{\sqrt{x^2-3x+9}-2x+3}{2x-6}\right)
You asked:
Evaluate the expression: \(\lim_{x \to 3}{\frac{\sqrt{{x}^{2} - 3 x + 9} - 2 x + 3}{2 x - 6}}\)
MathBot Answer:
\[\lim_{x \to 3}{\frac{\sqrt{{x}^{2} - 3 x + 9} - 2 x + 3}{2 x - 6}} = - \frac{3}{4}\]