Mathematics

Problem

Consider the function

f(x)= \begin{cases} \frac{x^{2}-9}{\sqrt{10}-\sqrt{x+1}}, & x<3,\\ 5, & x\ge 3. \end{cases}

Determine

\displaystyle\lim_{x\to 3^-} f(x)

. a)

0

-24

5

\displaystyle\frac{1}{\sqrt{10}-2}