Consider the function $f(x)=\left\{\begin{aligned} x^2-5, & x \leq 3 \\ \sqrt{x+13}, & x \gt 3\end{aligned}\right.$ What is $\lim _{x \rightarrow 3} f(x)$ equal to?

• A

  2
• Correct answer
  B

  4
• C

  5
• D

  13

Hence, the correct answer is option: 'B'.