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 $x _ { t } 0 < \left| x - x _ { 0 } \right| < \delta \Rightarrow | f ( x ) - L | < \varepsilon$ .
- $$\mathrm { f } ( \mathrm { x } ) = 6 \mathrm { x } + 3 , \mathrm { x } _ { 0 } = - 5 , \varepsilon = 0.06$$

A) $\mathrm { L } = - 27 ; \delta = 0.01$
B) $L = - 33 ; \delta = 0.01$
C) $L = - 27 ; \delta = 0.02$
D) $\mathrm { L } = 33 ; \delta = 0.02$