Evaluate the following limit : lim(x→3)√(2x + 3)/(x + 3)

Question

Evaluate the following limit : \(\lim\limits_{\text x \to 3}\cfrac{\sqrt{2\text x+3}}{\text x+3} \)

lim(x→3)√(2x + 3)/(x + 3)

Answer 1

Given limit

\(\Rightarrow\lim\limits_{\text x \to 3}\cfrac{\sqrt{2\text x+3}}{\text x+3} \)

Putting the value of limits directly, i.e. x = 0, we have

Hence the value of the given limit is 0.5