Find the Limit $L$ For the Given Function $f$ , the Point $x _ { 0 }$

Multiple Choice

Find the limit $L$ for the given function $f$ , the point $x _ { 0 }$ , and the positive number $\varepsilon$ . Then find a number $\delta > 0$ such that, for all $x _ { t } 0 < \left| x - x _ { 0 } \right| < \delta \Rightarrow | f ( x ) - L | < \varepsilon$ .
- $$\mathrm { f } ( \mathrm { x } ) = \sqrt { 24 - 3 \mathrm { x } } , \mathrm { x } _ { 0 } = - 4 , \varepsilon = 0.3$$

A) $\mathrm { L } = j - 5 ; \delta = 0.57$
B) $\mathrm { L } = 6 ; \delta = 1.17$
C) $L = 7 ; \delta = 1.17$
D) $L = 6 ; \delta = 1.23$