Evaluate lim(x→3)√(2x+3)/x+3

Question

Evaluate :

 \(\lim\limits_{x \to 3}\frac{\sqrt {2x+3}}{x+3}\)

Answer 1

\(\lim\limits_{x \to 3}\frac{\sqrt{2x+3}}{x+3}\) 

\(=\frac{\sqrt{2.3+3}}{3+3}\) 

\(=\frac{\sqrt{9}}{6}\) 

\(=\frac{3}{6}\) 

\(=\frac{1}{2}\)