Evaluate each limit. \[ \lim _{x \rightarrow-3^{+}} f(x), f(x)=\left\{\begin{array}{ll} -x^{2}-4 x-5, & x<-3 \\ \frac{x}{2}-5, & x \geq-3 \end{array}\right. \]

Step 1 ：The limit as x approaches -3 from the right is asking for the value of the function as x gets very close to -3, but is still greater than -3.

Step 2 ：Since x is greater than -3, we should use the second part of the piecewise function to evaluate the limit.

Step 3 ：Substitute x = -3 into the function \(f = \frac{x}{2} - 5\).

Step 4 ：The limit as x approaches -3 from the right of the function f(x) is -13/2.

Step 5 ：Final Answer: \(\boxed{-\frac{13}{2}}\)