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 $x _ { t } 0 < \left| x - x _ { 0 } \right| < \delta \Rightarrow | f ( x ) - L | < \varepsilon$ .
- $f ( x ) = 1 / x , L = 1 / 7 , x _ { 0 } = 7 \text {, and } \varepsilon = 0.4$

A) $0.7368$
B) $5.1579$
C) $- 27.2222$
D) $- 10.8889$