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 $x _ { t } 0 < \left| x - x _ { 0 } \right| < \delta \Rightarrow | f ( x ) - L | < \varepsilon$ .
- $f ( x ) = m x , m > 0 , L = 4 m , x _ { 0 } = 4$ , and $\varepsilon = 0.07$

A) $\delta = 4 - m$
B) $\delta = 0.07$
C) $\delta = \frac { 0.07 } { m }$
D) $\delta = 4 + \frac { 0.07 } { m }$